Use the remainder theorem to find the remainder when f(x)is divided by x - c.
-$$f ( x ) = 5 x ^ { 6 } - 3 x ^ { 3 } + 8 ; x + 1$$
A)16
B)8
C)6
D)10

Question

Quizplus · Accepted Answer

The remainder theorem states that the remainder of the division of a polynomial $f(x)$ by $x - c$ is $f(c)$. Here, $c = -1$. Substituting $x = -1$ into $f(x) = 5x^6 - 3x^3 + 8$, we get $f(-1) = 5(-1)^6 - 3(-1)^3 + 8 = 5(1) - 3(-1) + 8 = 5 + 3 + 8 = 16$.

Use the Remainder Theorem to Find the Remainder When F(x)is f(x)=5x6−3x3+8;x+1f ( x ) = 5 x ^ { 6 } - 3 x ^ { 3 } + 8 ; x + 1f(x)=5x6−3x3+8;x+1

Use the Remainder Theorem to Find the Remainder When F(x)is $f ( x ) = 5 x ^ { 6 } - 3 x ^ { 3 } + 8 ; x + 1$