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Question

A quadratic polynomial whose zeros are 35 and -12,is
(a) 10x2 + x + 3
(b) 10x2 + x − 3
(c) 10x2 − x + 3
(d) x2-110x-310

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Solution

(d) x2110x310 Here, the zeroes are 35 and 12.Let α=35 and β=12 So, sum of the zeroes, α+β=35+12=110 Also, product of the zeroes, αβ=35×12=310The polynomial will be x2-(α+β)x+αβ. The required polynomial is x2110x310.

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