Use the remainder theorem to find the remainder when f(x)is divided by x - c.
-$$f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } ; x + 1$$
A)5
B)-21
C)-5
D)21

Question

Quizplus · Accepted Answer

By the Remainder Theorem, when f(x) is divided by x - c, the remainder is f(c). So, to find the remainder when f(x) is divided by x + 1, we evaluate f(x) at x = -1:f(-1) = (-1)^4 + 8(-1)^3 + 12(-1)^2= 1 - 8 + 12= 5Therefore, the remainder is 5.

Use the Remainder Theorem to Find the Remainder When F(x)is f(x)=x4+8x3+12x2;x+1f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } ; x + 1f(x)=x4+8x3+12x2;x+1

Use the Remainder Theorem to Find the Remainder When F(x)is $f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 12 x ^ { 2 } ; x + 1$