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Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomials- Home
- Grade 10 Math
- Factoring Polynomial Expressions

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

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- 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)${(x-2y)^2-8a(x-2y)+15a^2}$

7.

Factoring Polynomial Expressions

7.1

Common factors of polynomials

7.2

Factoring polynomials by grouping

7.3

Solving polynomials with unknown coefficients

7.4

Solving polynomials with unknown constant terms

7.5

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

7.6

Applications of polynomials: $x^2 + bx + c$

7.7

Solving polynomials with the unknown "b" from $ax^2 + bx + c$

7.8

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

7.9

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

7.10

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

7.11

Evaluating polynomials

7.12

Using algebra tiles to factorise polynomials

7.13

Solving polynomial equations

7.14

Word problems of polynomials

7.1

Common factors of polynomials

7.2

Factoring polynomials by grouping

7.3

Solving polynomials with unknown coefficients

7.4

Solving polynomials with unknown constant terms

7.5

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

7.6

Applications of polynomials: $x^2 + bx + c$

7.7

Solving polynomials with the unknown "b" from $ax^2 + bx + c$

7.8

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

7.9

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

7.10

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

7.11

Evaluating polynomials

7.13

Solving polynomial equations

7.14

Word problems of polynomials