Still Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomials- Home
- NZ Year 10 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, got it.

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Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

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

18.

Factorising Polynomial Expressions

18.1

Common factors of polynomials

18.2

Factorising polynomials by grouping

18.3

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

18.4

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

18.5

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

18.6

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

18.7

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

18.8

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

18.9

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

18.10

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

18.11

Evaluating polynomials

18.12

Using algebra tiles to factorise polynomials

18.13

Solving polynomial equations

18.14

Word problems of polynomials

18.1

Common factors of polynomials

18.2

Factorising polynomials by grouping

18.3

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

18.4

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

18.5

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

18.6

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

18.7

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

18.8

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

18.9

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

18.10

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

18.11

Evaluating polynomials

18.13

Solving polynomial equations

18.14

Word problems of polynomials