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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: 1a3:11
- Lesson: 1b4:28

In this section, we will learn how to find all the possible answers to the unknown "b" in the polynomials ${ax^2 + bx+c}$. Similar to the earlier sections in this chapter, we are going to apply trinomial factoring to reverse the process of FOIL to solve the problems.

Basic concepts: Multiplying binomial by binomial, Common factors of polynomials, Solving polynomials with unknown coefficients,

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

- 1.Determine all integers k of the following trinomials.a)${2x^2+kx-5}$b)${3x^2+kx+4}$

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 solve 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