Polynomials (AQA A-Level Mathematics): Quizzes

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Expanding Brackets
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What does expanding brackets help you do to expressions?

Remove parentheses & simplify

When expanding a single bracket, what do you do with the term outside the bracket?

Distribute it to each term inside

What is 3(x+4)3(x + 4) when expanded?

3x+123x + 12

In the FOIL method, what does FOIL stand for?

First, Outside, Inside, Last

What is (x+2)(x+3)(x + 2)(x + 3) when expanded?

x2+5x+6x^2 + 5x + 6

What is the general form for expanding (a+b)(c+d)(a + b)(c + d)?

ac+ad+bc+bdac + ad + bc + bd

What must you be careful about when expanding brackets with negative signs?

Distribution to ensure correct signs

What is (2x3)(x+4)(2x - 3)(x + 4) when expanded?

2x2+5x122x^2 + 5x - 12

How do you expand more than two brackets?

Expand two first, then multiply result

First step in expanding (x+1)(x2)(x+3)(x + 1)(x - 2)(x + 3)?

Expand (x+1)(x2)(x + 1)(x - 2) first

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