Still Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsAlgebra

Factoring polynomials: $x^2 + bx + c$- Home
- Transition Year Maths
- Factorising Polynomial expressions

Still Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsAlgebra

Factoring polynomials: $x^2 + bx + c$Still Confused?

Try reviewing these fundamentals first

Basic Math

Prime factorizationAlgebra

Multiplying binomial by binomialAlgebra

Common factors of polynomialsAlgebra

Factoring polynomials: $x^2 + bx + c$Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Intro Lesson17:28
- Lesson: 1a2:40
- Lesson: 1b2:16
- Lesson: 1c1:58
- Lesson: 1d1:30
- Lesson: 2a2:21
- Lesson: 2b2:09
- Lesson: 3a2:43

Before starting this lesson, check your understanding on how to factor ${x^2 + bx + c}$

we talked about in the other lesson first. The coefficient, a, in front of ${x^2}$

can make it a bit more challenging, but we will show you the tricks to make it easy!

we talked about in the other lesson first. The coefficient, a, in front of ${x^2}$

can make it a bit more challenging, but we will show you the tricks to make it easy!

Basic Concepts: Prime factorization, Multiplying binomial by binomial, Common factors of polynomials, Factoring polynomials: $x^2 + bx + c$

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

- IntroductionOverview of factoring polynomials with a coefficient in front of $x^2$
- 1.Factor the following:a)${9x^2+3x-2}$b)${21x^2-41x+10}$c)${8x^2+x-9}$d)${15x^2-16x-15}$
- 2.Factor with common factoring firsta)${-36x^2-96xy-64y^2}$b)${-3a^2(b+1)^2-2a(b+1)^2+5(b+1)^2}$
- 3.Factor with unusual exponentsa)${-6x^{8a}+17x^{4a}y^{4b}-10y^{8b}}$

12.

Factorising Polynomial expressions

12.1

Common factors of polynomials

12.2

Factorising polynomials by grouping

12.3

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

12.4

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

12.5

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

12.6

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

12.7

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

12.8

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

12.9

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

12.10

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

12.11

Evaluating polynomials

12.12

Using algebra tiles to factorise polynomials

12.13

Solving polynomial equations

12.14

Word problems of polynomials

We have plenty of practice questions in Transition Year Maths for you to master.

Get Started Now12.1

Common factors of polynomials

12.2

Factorising polynomials by grouping

12.3

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

12.4

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

12.5

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

12.6

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

12.7

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

12.8

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

12.9

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

12.10

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

12.11

Evaluating polynomials

12.13

Solving polynomial equations

12.14

Word problems of polynomials