For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$$P ( x ) = x ^ { 2 } + 13 x + 29 ; - 4$$
A) 0
B) 7
C) $- 7$
D) 9

Question

Quizplus · Accepted Answer

The Remainder Theorem states that if a polynomial $P(x)$ is divided by $x - c$, then the remainder is $P(c)$. Here, $c = -4$, so we substitute $-4$ into the polynomial: $P(-4) = (-4)^2 + 13(-4) + 29 = 16 - 52 + 29 = -7$.

For the Given Polynomial P(x) and the Given C, Use P(x)=x2+13x+29;−4P ( x ) = x ^ { 2 } + 13 x + 29 ; - 4P(x)=x2+13x+29;−4

For the Given Polynomial P(x) and the Given C, Use $P ( x ) = x ^ { 2 } + 13 x + 29 ; - 4$