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If f(x) = 4x3 + px2 + 7x - 23 is divided by (2x -5...

If f(x) = 4x3 + px2 + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p

A.

-7.0

B.

-8.0

C.

-9.6

D.

9

Correct answer is B

f(x) = 4x3 + px2 + 7x - 23

If f(x) is divided by (2x -5), the remainder is f(52)

f52 = 4523 + p522 + 752 - 23

Hence;

 = 1258254 p + 352 - 23

28 = 250 + 250p + 70 - 92

25p = -200;  p = -8.0