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If the polynomial f(x)=x^2+kx-15,is exactly divisible by x-5, then the value of k is _______(a) 3(b) 2(c) -3(d) -2This question was posed to me in an international level competition.I'm obligated to ask this question of Division of Polynomial topic in chapter Polynomials of Mathematics – Class 10

Answer» CORRECT CHOICE is (d) -2

The EXPLANATION: x^2+kx-15 is exactly DIVISIBLE by x-5

Dividing, x^2+kx+15 by x-5

We get, 5k+10 as remainder.

Since,x^2+kx-15 is exactly divisible by 2x-5

∴ 5k+10=0

k=-2


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