Q. 5

If p(x) = x3 + x2 + ax + 115 is exactly divisible by (x + 5) then a = ?
A. 8

B. 6

C. 5

D. 3

Answer :

Given, p(x) = x3 + x2 + ax + 115

(x3 + x2 + ax + 115) is exactly divisible by (x + 5)


Hence, substituting x = -5 will give us the value of a


(-5)3 + (-5)2 + a (-5) + 115 = 0


-125 + 25 5a + 115 = 0


5a = 15


a = 3

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