Q. 9 5.0( 2 Votes )

A quadratic polynomial whose zeros are 5 and ‒3, is
A. x2 + 3x + 10

B. x2 – 2x + 15

C. x2 – 2x – 15

D. none of these

Answer :

We have, α = 5, β = -3


Thus, sum of zeros(α + β) = 5 – 3 = 2


Product of zeros(αβ) = 5(-3) = -15


We know that,


Required polynomial = x2 – (α + β) + αβ


= x2 – 2x – 15


Hence, option C is correct.

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