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- Factorising Polynomial Expressions

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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)${3x^2+kx+4}$

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 solve polynomials

17.13

Solving polynomial equations

17.14

Word problems of polynomials

We have over 1570 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