1. Fundamental Concepts of Algebra

Factor by Grouping

Factoring Polynomials

Factoring By Grouping - Ex 2

Factor Expressions with Fractional Exponents

Factoring Perfect Square Trinomials - Ex1

In Exercises 49–56, factor each perfect square trinomial. x^2−14x+49

Factoring Trinomials : Factor by Grouping - ex 3

Finding all the Zeros of a Polynomial - Example 1

Factoring by Grouping - Ex 1

Factoring Perfect Square Trinomials - Ex3

Factoring by Grouping

Lesson: Factoring a Sum or Difference of Cubes

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−9x−18

Simplify the algebraic expression. (1/5)(5x) + [(3y) + (- 3y)] - (-x)

In Exercises 103–114, factor completely. (x+y)^4−100(x+y)^2

Simplify the algebraic expression. 5(2x - 3) + 7x

In Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x

In Exercises 1–10, factor out the greatest common factor. 3x^2+6x

In Exercises 65–92, factor completely, or state that the polynomial is prime. 6x^2−6x−12

Factor completely, or state that the polynomial is prime. x^2-11x+28

In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x

Factor an expression: taking out the greatest common factor

Factor completely, or state that the polynomial is prime. 15x^3+3x^2

Factoring Expressions with Rational Exponents

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45

Factor completely, or state that the polynomial is prime. 64-x^2

Factor an expression using the diamond and box method

Factoring Sum and Difference of Cubes

Factoring Trinomials by Trial and Error - Ex 2

Factor: using factor sums

Factoring the Difference of Two Squares - Ex 3

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64

Factoring the Difference of Two Squares - Ex 1

Factoring a sum or difference of two cubes

In Exercises 11–16, factor by grouping. x^3−3x^2+4x−12

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8

Factoring the Difference of Two Squares - Ex 2

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 9x^2+5x−4

Factor an expression

Rewrite a trinomial by factoring using grouping

How to factor a perfect square trinomial

Factor completely, or state that the polynomial is prime. 16x^2-40x+25

Use a general strategy for factoring polynomials

Factoring with Negative Exponents

In Exercises 1–10, factor out the greatest common factor. 18x+27

In Exercises 11–16, factor by grouping. x^3+6x^2−2x−12

In Exercises 39–48, factor the difference of two squares. 16x^4−81

Finding the Greatest Common Factor, GCF

In Exercises 1–10, factor out the greatest common factor. x^2(2x+5)+17(2x+5)

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2

Factor completely, or state that the polynomial is prime. 3x^4-12x^2

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2

Factoring Trinomials (A quadratic Trinomial) by Trial and Error

In Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3

Whiteboard Math: Factoring by Grouping

Factoring Polynomials By Grouping

In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162

Exercises 177–179 will help you prepare for the material covered in the next section.

Factor completely: x^3 + x^2 - 4x - 4.

Factor expressions by grouping diagrams

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125

Factoring with fractional and negative exponents.

In Exercises 49–56, factor each perfect square trinomial. x^2+2x+1

Factoring Sums and Differences of Cubes

Finding all the Zeros of a Polynomial - Example 2

Factoring Sums and Differences of Cubes - Ex 3

In Exercises 103–114, factor completely. 6x^4+35x^2−6

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 3x^2+4xy+y^2

In Exercises 39–48, factor the difference of two squares. x^2−144

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4

In Exercises 1–10, factor out the greatest common factor. x(2x+1)+4(2x+1)

Factoring Perfect Square Trinomials - Ex 2

Factor using multiple strategies

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2

Factor perfect square trinomials

In Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2

In Exercises 49–56, factor each perfect square trinomial. 64x^2−16x+1

Factor and simplify each algebraic expression. 16x^(-3/4)+32x(1/4)

❖ Finding all the Zeros of a Polynomial - Example 3 ❖

Factor and simplify each algebraic expression. [12x(-1/2)+6x^(-3/2)]

In Exercises 103–114, factor completely. x^4−5x^2 y^2+4y^4

In Exercises 49–56, factor each perfect square trinomial. 4x^2+4x+1

Factoring Using the Great Common Factor, GCF - Example 1

In Exercises 39–48, factor the difference of two squares. 64x^2−81

Rewrite an expression using the difference of two squares

Factoring Trinomials: Factor by Grouping - ex 1

In Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2

Factor a quadratic equation: difference between 2 squares

Factoring Trinomials: Factor by Grouping - ex 2

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27

In Exercises 39–48, factor the difference of two squares. 36x^2−49y^2

In Exercises 1–10, factor out the greatest common factor. 9x^4−18x^3+27x^2

A General Factoring Strategy

Factoring Using the Great Common Factor, GCF - Example 2 - Factoring Out Binomials

Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.

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College Algebra

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