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 polynomialsStill Confused?

Try reviewing these fundamentals first.

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsNope, I got it.

That's that last lesson.

Start 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 NowStart now and get better math marks!

Get Started Now- Lesson: 1a9:47
- Lesson: 2a1:16
- Lesson: 2b1:08
- Lesson: 2c1:09
- Lesson: 2d0:59
- Lesson: 3a1:03
- Lesson: 3b1:25
- Lesson: 3c2:19
- Lesson: 3d1:55
- Lesson: 3e1:36
- Lesson: 4a1:19
- Lesson: 4b1:27
- Lesson: 4c2:11

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,

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

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

- 2.Factor the followinga)${x^2 +7x +10}$b)${x^2-4x+4}$c)${x^2+7x-30}$d)${x^2-4x-21}$
- 3.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)${1\over4}{x^3-x^2-8x}$
- 4.Factor with unusual exponentsa)${x^{6n}-3x^{3n}+2}$b)${x^{2n}-7x^nx^m+10x^{2m}}$c)${(x-2y)^2-8a(x-2y)+15a^2}$

22.

Factoring

22.1

Common factors of polynomials

22.2

Factoring polynomials by grouping

22.3

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

22.4

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

22.5

Factoring perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ or $(a - b)^2 = a^2 - 2ab + b^2$

22.6

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

22.7

Factor theorem

We have over 1180 practice questions in Algebra 1 for you to master.

Get Started Now22.1

Common factors of polynomials

22.2

Factoring polynomials by grouping

22.3

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

22.4

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

22.5

Factoring perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ or $(a - b)^2 = a^2 - 2ab + b^2$

22.6

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