Question

Find the remainder when $5x^2+14x+2$ is divided by $x-4$.

• A. 144
• B. 138
• C. 122
• D. 116

Answer 1

The correct option is B

138

Let $f\left(x\right)$ = $5x^2+14x+2$

By remainder theorem, remainder is given by $f\left(4\right)$ since $x-4$ is a factor.

$\Rightarrow$ $f\left(4\right)$ = $5(4{)}^2+14(4)+2$

$\Rightarrow$ $f\left(4\right)$ = $138$