Completing the Square (AQA GCSE Maths): Quizzes

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Completing the square
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What is completing the square used for?

Solving quadratics & analysing graphs

What form does completing the square create?

(x+m)2+n(x + m)^2 + n

For (x+m)2+n(x + m)^2 + n, what are the turning point coordinates?

(m,n)(-m, n)

In Step 2 when a=1a = 1, what do you do with the coefficient of xx?

Divide it by 2

What is x2+8x+5x^2 + 8x + 5 in completed square form?

(x+4)211(x + 4)^2 - 11

When solving with completed square form, what must you remember when taking square roots?

Include both + and - solutions

When a1a \neq 1, what should you do first?

Factor out the coefficient of x2x^2

When a1a \neq 1, what goes inside the bracket?

b2a\frac{b}{2a}

For a positive quadratic, when does the graph never cross the xx-axis?

When nn is positive

What is the shortcut formula for the adjusting number?

c(b2)2c - (\frac{b}{2})^2

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