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Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomials- Home
- CLEP College Algebra
- Factoring

Still Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsStill Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsNope, got it.

That's the last lesson

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson: a9:47
- Intro Lesson: b19:33
- Lesson: 1a1:58
- Lesson: 1b2:39
- Lesson: 1c2:39
- Lesson: 1d2:24
- Lesson: 2a3:29
- Lesson: 2b3:27
- Lesson: 2c3:28
- Lesson: 2d5:24
- Lesson: 2e5:07
- Lesson: 3a4:07
- Lesson: 3b4:14
- Lesson: 3c4:29

This form of polynomials can be often factorized into a product of two binomials. Sometimes, we need to find the common factor of the polynomial before factorizing. We will learn it all in this lesson.

Basic Concepts: Prime factorization, Multiplying binomial by binomial, Common factors of polynomials

Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: $x^2 - y^2$, Factoring trinomials

- Introductiona)
What is the cross-multiplying method of factoring? (a.k.a the Decomposition method)

- - How does it work?
- - How to use it?

b)How to Factor Polynomials? - 1.Factor the followinga)${x^2 +7x +10}$b)${x^2-4x+4}$c)${x^2+7x-30}$d)${x^2-4x-21}$
- 2.Factor with common factoring firsta)${4x^2+20x+24}$b)${-4x^2 - 28x + 120}$c)${x^2-12xy+36y^2}$d)${-x^3y^2-3x^2y^3+4xy^4}$e)${1\over4}{x^3-x^2-8x}$
- 3.Factor with unusual exponentsa)${x^{6n}-3x^{3n}+2}$b)${x^{2n}-7x^nx^m+10x^{2m}}$c)${(x-2y)^2-8a(x-2y)+15a^2}$

13.

Factoring

13.1

Common factors of polynomials

13.2

Factor by taking out the greatest common factor

13.3

Factoring polynomials: $ax^2 + bx + c$

13.4

Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$

13.5

Factoring difference of squares: $x^2 - y^2$

13.6

Introduction to quadratic functions

13.7

Factoring polynomials by grouping

13.8

Factoring polynomials: $x^2 + bx + c$

13.9

Evaluating polynomials

13.10

Word problems of polynomials

13.1

Common factors of polynomials

13.2

Factor by taking out the greatest common factor

13.3

Factoring polynomials: $ax^2 + bx + c$

13.4

Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$

13.5

Factoring difference of squares: $x^2 - y^2$

13.6

Introduction to quadratic functions

13.7

Factoring polynomials by grouping

13.8

Factoring polynomials: $x^2 + bx + c$

13.9

Evaluating polynomials

13.10

Word problems of polynomials