Question

Given $p\left(x\right)=x^3+8x^2-7x+12$ and $g\left(x\right)=x-1$. Find the remainder when $p\left(x\right)$ is divided by $g\left(x\right)$.

• A. 4
• B. 6
• C. 1
• D. 14

Answer 1

The correct option is D 14

Given:
$p\left(x\right)=x^3+8x^2-7x+12$ is divided by $g\left(x\right)=x-1$

Let the remainder be $r\left(x\right)$. Using Remainder theorem, remainder is given by $p\left(1\right)$.
$r\left(x\right)=p\left(1\right)$
$r\left(x\right)=1^3+8\times 1^2-7\times 1+12=14$