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10 questions from this quiz
Determining equation from given roots
Write x=px = px=p or x=qx = qx=q
Signs in brackets are opposite to roots
Write as (x−p)(x−q)=0(x - p)(x - q) = 0(x−p)(x−q)=0
x2−8x−65=0x^2 - 8x - 65 = 0x2−8x−65=0
Multiply through to eliminate fractions
Yes, if they differ by constant factor
Substitute roots back into equation
x2−(p+q)x+pq=0x^2 - (p + q)x + pq = 0x2−(p+q)x+pq=0
Getting signs wrong in factors
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