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Question

Find the quadratic polynomial P(x).If 4 and 1 are the zeros of P(x).

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Solution

We have,
α=4,β=1

We know that
x2(sum of zeroes)x+product of zeroes

Therefore,
P(x)=x2(4+1)x+4×1

P(x)=x25x+4

Hence, this is the answer.

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