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Solution


Q.

Find a quadratic polynomial whose sum of the zeroes is 8 and difference of the zeroes is 2.

Ans.

(x2+8x+15)

Let the zeroes be α and β

∴ α+β=8 and α-β=2

Solving above two equations, we get α=5 and β=3

So, the quadratic polynomial is x2+8x+15