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- Multiplication and Division of Polynomials

Still Confused?

Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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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.

25.

Multiplication and Division of Polynomials

25.1

Common factors of polynomials

25.2

Factorising polynomials by grouping

25.3

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

25.4

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

25.5

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

25.6

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

25.7

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

25.8

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

25.9

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

25.10

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

25.11

Evaluating polynomials

25.12

Using algebra tiles to factorise polynomials

25.13

Solving polynomial equations

25.14

Word problems of polynomials

We have over 1350 practice questions in NZ Year 9 Maths for you to master.

Get Started Now25.1

Common factors of polynomials

25.2

Factorising polynomials by grouping

25.3

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

25.4

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

25.5

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

25.6

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

25.7

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

25.8

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

25.9

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

25.10

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

25.11

Evaluating polynomials

25.13

Solving polynomial equations

25.14

Word problems of polynomials