Factorising Quadratic Expressions (Leaving Cert Mathematics): Quizzes

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Factorising Quadratic Expressions
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What is the standard form of a quadratic expression?

ax2+bx+cax^2 + bx + c where a≠0a \neq 0

What is the highest power of the variable in a quadratic expression?

2

What does it mean to factorise a quadratic expression?

Rewrite it as a product of simpler terms

In trial and error, what must the outside + inside products equal?

The middle term

What is the factorised form of x2+7x+10x^2 + 7x + 10?

(x+5)(x+2)(x + 5)(x + 2)

When should you use the common factor method?

For ax2+bxax^2 + bx with no constant term

What is 3x2−6x3x^2 - 6x factorised?

3x(x−2)3x(x - 2)

What is the difference of two squares formula?

x2−y2=(x+y)(x−y)x^2 - y^2 = (x + y)(x - y)

What is x2−25x^2 - 25 factorised?

(x+5)(x−5)(x + 5)(x - 5)

What should you look for first when factorising?

Common factors

How should you verify your factorisation is correct?

Expand the brackets to check

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