Solve.
-If $P ( x ) = x ^ { 5 } - 7 x ^ { 4 } + 4 x ^ { 3 } - 5$, use the remainder theorem to find $P ( 2 )$.
A) $- 17$
B) $- 85$
C) $- 53$
D) 53

Question

Quizplus · Accepted Answer

The remainder theorem states that the remainder of the division of a polynomial $P(x)$ by $x - a$ is $P(a)$. To find $P(2)$, substitute $x = 2$ into the polynomial: $P(2) = 2^5 - 7(2^4) + 4(2^3) - 5 = 32 - 112 + 32 - 5 = -53$.

Solve -If P(x)=x5−7x4+4x3−5P ( x ) = x ^ { 5 } - 7 x ^ { 4 } + 4 x ^ { 3 } - 5P(x)=x5−7x4+4x3−5

Solve
-If $P ( x ) = x ^ { 5 } - 7 x ^ { 4 } + 4 x ^ { 3 } - 5$