Find the remainder when 3x3 + 5x2 – 11x + 4 is divided by x + 3
-
A.
-4 -
B.
4 -
C.
1 -
D.
-1
Correct Answer: Option C
Explanation
x = -3
substitute x = -3 in 3x3 + 5x2 – 11x + 4
3(-3)3 + 5(-3)2 – 11(-3) + 4
-81 + 45 + 33 + 4
-81 + 82
= 1
x = -3
substitute x = -3 in 3x3 + 5x2 – 11x + 4
3(-3)3 + 5(-3)2 – 11(-3) + 4
-81 + 45 + 33 + 4
-81 + 82
= 1