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- Factorising Polynomial expressions

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Lesson: 1a1:44
- Lesson: 1b2:32

In this section, we will apply all the techniques of polynomial factoring to solve word problems related to geometric objects.

Basic Concepts: Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial, 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

- 1.Factoring Word Problemsa)The volume of a rectangular prism is $(k^3+7k^2+12k)$ $m^3$. Find the dimensions in terms of k.b)A sheet of cardboard is 5 m by 7 m and has squares x m wide cut from each corner.

The sides are folded up to become an open-top box.

Find the volume of the box in a factored form.

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