Question

If ($x^5-9x^2+12x-14)$ is divided by $(x–3)$, then the remainder is:

• A. $184$
• B. $284$
• C. $84$
• D. $94$

Answer 1

The correct option is A $184$

Given polynomial is:
$f\left(x\right)=x^5-9x^2+12x-14$

By Remainder Theorem, f(3) gives the remainder when f(x) is divided by $(x–3)$.

$f\left(3\right)=3^5–9\times {\left(3\right)}^2+12\times 3–14$
$f\left(3\right)=243-81+36-14$
$f\left(3\right)=184$