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Question
Find a quadratic polynomial whose zeroes are 6 and – 3.
Solution
P(x) = k[x2 – Sx + p]
where k = non-zero constant
S = sum of zeroes
p = product of zeroes
∴ P(x) = k[x2 – (6 – 3) + 6(– 3))
= k(x2 – 3x – 18)
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