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Try reviewing these fundamentals first.

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomials- Home
- UK Year 12 Maths
- Factorising 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, 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- Intro Lesson: a9:47
- Lesson: 1a1:16
- Lesson: 1b1:08
- Lesson: 1c1:09
- Lesson: 1d0:59
- Lesson: 2a1:03
- Lesson: 2b1:25
- Lesson: 2c2:19
- Lesson: 2d1:55
- Lesson: 2e1:36
- Lesson: 3a1:19
- Lesson: 3b1:27
- Lesson: 3c2:11

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,

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

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

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

8.

Factorising Polynomial Expressions

8.1

Common factors of polynomials

8.2

Factorising polynomials by grouping

8.3

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

8.4

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

8.5

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

8.6

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

8.7

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

8.8

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

8.9

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

8.10

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

8.11

Evaluating polynomials

8.12

Using algebra tiles to solve polynomials

8.13

Solving polynomial equations

8.14

Word problems of polynomials

We have over 1620 practice questions in UK Year 12 Maths for you to master.

Get Started Now8.1

Common factors of polynomials

8.2

Factorising polynomials by grouping

8.3

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

8.4

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

8.5

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

8.6

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

8.7

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

8.8

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

8.9

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

8.10

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

8.11

Evaluating polynomials

8.13

Solving polynomial equations

8.14

Word problems of polynomials