0. Review of Algebra

Factoring Polynomials

Textbook Question
Factor 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)^1/2
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Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8.
$7 (5 t + 3)^{- \frac{5}{3}} + 14 (5 t + 3)^{- \frac{2}{3}} - 21 (5 t + 3)^{\frac{1}{3}}$
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Textbook Question
Factor 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)^11/7
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Textbook Question
Factor each polynomial over the set of rational number coefficients. 49x^2-1/25
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Textbook Question
In Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers.36x²ⁿ − y²ⁿ
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Textbook Question
In Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers.x³ⁿ + y¹²ⁿ
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Textbook Question
Factor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)
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Textbook Question
Find all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81
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Textbook Question
Find all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c
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Textbook Question
Find all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c
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Textbook Question
Exercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely.9b²x + 9b²y − 16x − 16y
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Textbook Question
Factor completely: $x^{3} + x^{2} - 4 x - 4.$
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Textbook Question
Write each rational expression in lowest terms. 8x² + 16 / 4x²
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Textbook Question
Write each rational expression in lowest terms. 3(3 - t) / (t + 5)(t - 3)
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Textbook Question
Write each rational expression in lowest terms. 8k + 16 / 9k + 18
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