For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$$P ( x ) = - 2 x ^ { 2 } + 2 x + 5 ; - 3$$
A) $- 19$
B) 29
C) $- 7$
D) 17

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, $c = -3$, so we substitute $-3$ into the polynomial: $P(-3) = -2(-3)^2 + 2(-3) + 5 = -2(9) - 6 + 5 = -18 - 6 + 5 = -19$.

For the Given Polynomial P(x) and the Given C, Use P(x)=−2x2+2x+5;−3P ( x ) = - 2 x ^ { 2 } + 2 x + 5 ; - 3P(x)=−2x2+2x+5;−3

For the Given Polynomial P(x) and the Given C, Use $P ( x ) = - 2 x ^ { 2 } + 2 x + 5 ; - 3$