Let $P ( x ) = 7 x ^ { 3 } + 8 x ^ { 2 } - 7 x + 10$.
Use synthetic division to find the value $P ( 2 )$.
A) 83
B) 85
C) $\quad 168$
D) none of these
E) 84

Question

Quizplus · Accepted Answer

To find $P(2)$ using synthetic division, we set up the division with 2 as the divisor and the coefficients of $P(x)$ as the dividend: $7, 8, -7, 10$. The process of synthetic division gives us the remainder, which is $P(2)$. After performing the synthetic division, the remainder is 84, which means $P(2) = 84$.

Let P(x)=7x3+8x2−7x+10P ( x ) = 7 x ^ { 3 } + 8 x ^ { 2 } - 7 x + 10P(x)=7x3+8x2−7x+10

Let $P ( x ) = 7 x ^ { 3 } + 8 x ^ { 2 } - 7 x + 10$