Factorising (Junior Cert Mathematics): Flashcards

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Factorising
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Practise the cards

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What is factorising?

Breaking down expressions into factors that multiply together

Four factorising methods

HCF, Grouping, Difference of Two Squares, Quadratic Trinomials

HCF definition

Biggest common factor in all terms

When to use grouping method

When expression has four terms

Difference of Two Squares pattern

a2b2a^2 - b^2

Factorise a2b2a^2 - b^2

(ab)(a+b)(a - b)(a + b)

Quadratic trinomial form

ax2+bx+cax^2 + bx + c

How to factorise quadratics

Find two numbers: multiply to acac, add to bb

First step when factorising

Always check for HCF first

Sign needed for difference of squares

Minus sign between two squares

Two negatives multiply to

Positive

Two negatives add to

Negative

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