For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$P ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } + 15 x - 459 ; 5$
A) $- 309$
B) $- 9$
C) $- 459$
D) $- \frac { 9 } { 5 }$

Question

Quizplus · Accepted Answer

According to the remainder theorem, P(c) is the remainder when P(x) is divided by x-c. Substituting x = 5 into P(x), we get P(5) = 5^4 + 3(5)^3 - 25(5)^2 + 15(5) - 459 = -9.

For the Given Polynomial P(x) and the Given C, Use P(x)=x4+3x3−25x2+15x−459;5P ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } + 15 x - 459 ; 5P(x)=x4+3x3−25x2+15x−459;5

For the Given Polynomial P(x) and the Given C, Use $P ( x ) = x ^ { 4 } + 3 x ^ { 3 } - 25 x ^ { 2 } + 15 x - 459 ; 5$