Factorising Quadratics (AQA GCSE Maths): Quizzes

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Factorising quadratics
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What does factorising a quadratic expression mean?

Product of two linear factors

Why is standard form ax2+bx+c=0ax^2 + bx + c = 0 important for factorising?

Identifies coefficients needed

When the constant term cc is positive, what can you say about the signs in the brackets?

They are both the same

When the constant term cc is negative, what pattern do the bracket signs follow?

Signs are different

When a=1a = 1, what must two numbers do for factorising x2+bx+c=0x^2 + bx + c = 0?

Multiply to cc, add to bb

After factorising a quadratic into brackets, how do you find the solutions?

Set each bracket equal to zero

When a1a ≠ 1, what must the first terms in each bracket do?

Multiply to give aa

Why should you always expand your factorised brackets?

To verify it gives original eqn

What is the factorised form of x2x12=0x^2 - x - 12 = 0?

(x+3)(x4)=0(x + 3)(x - 4) = 0

What are the solutions to 2x29x5=02x^2 - 9x - 5 = 0 when factorised as (2x+1)(x5)=0(2x + 1)(x - 5) = 0?

x=12x = -\frac{1}{2} or x=5x = 5

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