For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$P ( x ) = x ^ { 2 } + 15 x + 47 ; - 8$
A) 7
B) $- 9$
C) 9
D) 0

Question

Quizplus · Accepted Answer

The remainder theorem states that if a polynomial $P(x)$ is divided by $x - c$, the remainder is $P(c)$. Here, $c = -8$, so we substitute $x = -8$ into the polynomial: $P(-8) = (-8)^2 + 15(-8) + 47 = 64 - 120 + 47 = -9$.

For the Given Polynomial P(x) and the Given C, Use P(x)=x2+15x+47;−8P ( x ) = x ^ { 2 } + 15 x + 47 ; - 8P(x)=x2+15x+47;−8

For the Given Polynomial P(x) and the Given C, Use $P ( x ) = x ^ { 2 } + 15 x + 47 ; - 8$