Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y272views2rank2comments
Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2205views7rank1comments
Multiple ChoiceFactor the polynomial by grouping −x2−5x+7x+35-x^2-5x+7x+35−x2−5x+7x+35195views5rank
Multiple ChoiceFactor the polynomial by grouping. 6x3−2x2+3x−16x^3-2x^2+3x-16x3−2x2+3x−1202views1rank1comments
Multiple ChoiceFactor the polynomial using special product formulas. 25x2−110x+12125x^2-110x+12125x2−110x+121172views6rank
Multiple ChoiceFactor the polynomial using special product formulas. x249−9\frac{x^2}{49}-949x2−9176views2rank
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x² - 4157views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 16x155views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 8x + 12179views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 9x + 20155views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. x³ + 5x²157views
Textbook QuestionWork each problem. Match each polynomial in Column I with its factored form in Column II. a. x^2 + 10xy +25y^2 b. x^2-10xy +25y^2 c.x^2-25y^2 d. 25y^2-x^2 A. (x+5y ) (x-5y) B. (x+5y)^2 C. (x-5y)^2 D. (5y+x)(5y-x)328views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²160views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² + 10y + 16140views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12x⁴ − 8x²213views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 36x² - 49y²184views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b163views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 8x + 15140views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 32x⁴ + 2x³ + 8x²150views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x²y² - 1154views
Textbook QuestionWork each problem. Which of the following is the correct complete factorization of x^4-1? A. (x^2-1)(x^2+1) B.(x^2+1)(x+1)(x-1) C. (x^2-1)^2 D. (x-1)^2(x+1)^2265views
Textbook QuestionWork each problem. Which of the following is the correct factorization of x^3+8? A. (x+2)^3 B. (x+2)(x^2+2x+4) C. (x+2)(x^2-2x+4) D. (x+2)(x^2-4x+4)251views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² − 12y + 20145views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 4x²y³ + 6xy148views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 9x⁴ - 25y⁶144views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 12m+60416views
Textbook QuestionExpress the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.312views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² + 5a − 14163views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 30x²y³ − 10xy²174views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x¹⁴ - y⁴142views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 8k^3+24k281views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²149views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + x − 30146views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12xy − 6xz + 4xw158views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. (x - 3)² - y²148views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2317views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x172views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj216views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5390views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. a² - (b - 2)²150views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36146views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15326views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²148views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − x + 7145views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 15x²ⁿ − 25xⁿ143views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)328views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45291views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)326views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 2x³ - 8x136views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)404views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 9xy + 14y²130views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x + 12156views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)664views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3268views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 24. x² + 4x155views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3368views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 50 - 2y²162views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy − 30y²146views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −8x − 48144views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²176views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2233views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4262views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² - 8y²144views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + xy + y²145views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −2x² + 6x − 14141views
Textbook QuestionConcept Check When directed to completely factor the polynomial 4x^2y^5-8xy^3,a student wrote 2xy^3(2xy^2-4). When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.230views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²155views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy + y²151views
Textbook QuestionConcept Check Kurt factored 16a^2-40a-6a+15 by grouping and obtained (8a-3)(2a-5). Callie factored the same polynomial and gave an answer of (3-8a)(5-2a). Which answer is correct?285views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −5y² + 40x155views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³160views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² − 18ab + 45b²140views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 30. x² - 1/3x185views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x³ + 32x² − 20x153views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²150views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 32. x²+4/5x166views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −x² − 7x + 5148views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁴ − xy³ + x³y − y⁴144views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 34. x²-9/5x179views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36165views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² + 8y²169views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x² + 25y²152views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2253views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x⁴ - 16152views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 3x(x+y) − (x+y)160views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 4x²(3x−1) + 3x − 1172views
Textbook QuestionA rigid bar (negligible mass) of length 80 cm connects a large sphere with a mass (m1) of 25 g to a small sphere with an unknown mass (m2). The large sphere is located at one end of the bar, with the center of mass of the bar located 22 cm away from this sphere. Determine the mass of the sphere (in grams) at the other end of the bar.160views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. x⁴ − 4x² − 5143views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)181views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25152views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. (x + 1)² + 8(x + 1) + 7 (Let u = x+1.)166views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸180views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ + 3x² - 4x - 12178views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 2x² + 9x + 7146views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³158views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ - 7x² - x + 7164views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 5x² − 16x + 3161views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴149views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² + 4x + 4210views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. 24a^4+10a^3b-4a^2b^2371views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 5y² + 33y − 14136views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2142views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 10x + 25150views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 8y² + 10y + 3138views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x⁴ − 4x² + 4159views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 6x² + 19x + 15145views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9y² + 6y + 1215views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 4x² − 27x + 18154views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. (a-3b)^2-6(a-3b)+9371views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 64y² − 16y + 1195views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²164views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 16y² − 6y − 27158views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64391views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 12xy + 36y²150views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³144views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27404views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)142views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9x² + 48xy + 64y²148views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)162views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125268views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1147views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x259views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 15x² + 111xy − 14y²181views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³168views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 15a² − ab − 6b²151views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162248views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4158views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1144views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²159views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ + 64187views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x247views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27146views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1161views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8228views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2351views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 5x⁴ + 2x² − 3153views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2250views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2325views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x+1)² − 5(x+1) + 2 (Let u = x+1)272views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x264views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x−2)² − 5(x−2) − 2160views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³151views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2248views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. −8(4x+3)^−2+10(5x+1)(4x+3)^−1156views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2258views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2278views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 3m^2/3-4m^-1/3361views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6r^-2/3-5r^-5/3237views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. -4a^-2/5+16a^-7/5300views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. (3r+1)^-2/3+(3r+1)^1/3+(3r+1)^4/3326views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 2(3x+1)^-3/2+4(3x+1)^-1/2+6(3x+1)^1/2228views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 7(5t+3)^-5/3+14(5t+3)^-2/3-21(5t+3)^1/3299views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6y^3(4y-1)^-3/7-8y^2(4y-1)^4/7+16y(4y-1)^11/7237views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. 49x^2-1/25230views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 36x²ⁿ − y²ⁿ155views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. x³ⁿ + y¹²ⁿ143views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)224views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81351views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c383views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c251views
Textbook QuestionExercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 9b²x + 9b²y − 16x − 16y147views
Textbook QuestionExercises 177–179 will help you prepare for the material covered in the next section. Factor completely: x^3 + x^2 - 4x - 4.311views