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- Factorising Polynomial Expressions

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

22.

Factorising Polynomial Expressions

22.1

Common factors of polynomials

22.2

Factorising polynomials by grouping

22.3

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

22.4

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

22.5

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

22.6

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

22.7

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

22.8

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

22.9

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

22.10

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

22.11

Evaluating polynomials

22.12

Using algebra tiles to factorise polynomials

22.13

Solving polynomial equations

22.14

Word problems of polynomials

We have over 1410 practice questions in UK Year 10 Maths for you to master.

Get Started Now22.1

Common factors of polynomials

22.2

Factorising polynomials by grouping

22.3

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

22.4

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

22.5

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

22.6

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

22.7

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

22.8

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

22.9

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

22.10

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

22.11

Evaluating polynomials

22.13

Solving polynomial equations

22.14

Word problems of polynomials