For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$P ( x ) = 36 x ^ { 4 } - 6 x ^ { 3 } + x ^ { 2 } - x - 36 ; \frac { 1 } { 6 }$
A) $- 36$
B) 36
C) $- \frac { 1301 } { 36 }$
D) $\frac { 1301 } { 36 }$

Question

Quizplus · Accepted Answer

The remainder theorem states that the remainder of the division of a polynomial $P(x)$ by $x-c$ is $P(c)$. Substituting $x = \frac{1}{6}$ into $P(x)$ gives $- \frac { 1301 } { 36 }$.

For the Given Polynomial P(x) and the Given C, Use P(x)=36x4−6x3+x2−x−36;16P ( x ) = 36 x ^ { 4 } - 6 x ^ { 3 } + x ^ { 2 } - x - 36 ; \frac { 1 } { 6 }P(x)=36x4−6x3+x2−x−36;61​

For the Given Polynomial P(x) and the Given C, Use $P ( x ) = 36 x ^ { 4 } - 6 x ^ { 3 } + x ^ { 2 } - x - 36 ; \frac { 1 } { 6 }$