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- Factorising Polynomial Expressions

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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: $x^2 + bx + c$,

Basic 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.

17.

Factorising Polynomial Expressions

17.1

Common factors of polynomials

17.2

Factorising polynomials by grouping

17.3

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

17.4

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

17.5

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

17.6

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

17.7

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

17.8

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

17.9

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

17.10

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

17.11

Evaluating polynomials

17.12

Using algebra tiles to factorise polynomials

17.13

Solving polynomial equations

17.14

Word problems of polynomials

We have over 1560 practice questions in AU Year 10 Maths for you to master.

Get Started Now17.1

Common factors of polynomials

17.2

Factorising polynomials by grouping

17.3

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

17.4

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

17.5

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

17.6

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

17.7

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

17.8

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

17.9

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

17.10

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

17.11

Evaluating polynomials

17.13

Solving polynomial equations

17.14

Word problems of polynomials