Find the remainder when (5x^{3} + 2x^{2} – 7x – 5) is divided by (x – 2).
-
A.
-51 -
B.
-23 -
C.
29 -
D.
49
Correct Answer: Option C
Explanation
Using remainder theorem, the remainder when (5x^{3} + 2x^{2} – 7x -5) is divided by (x – 2) = f(2)
(f(2) = 5(2^{3}) + 2(2^{2}) – 7(2) -5 = 40 + 8 – 14 – 5)
= 29