Question

What is the remainder when $p\left(x\right)$ = $x^2+3x-1$ is divided by $x-2$ ?

• A. 2
• B. 9
• C. 10
• D. 5

Answer 1

The correct option is B 9

From Remainder theorem , we know when a polynomial $p\left(x\right)$ is divided by $x-a$ , the remainder is $p\left(a\right)$.

$\therefore$ Comparing $x-a$ with $x-2$ , we have $a=2$.

Substituting a = 2 in $p\left(x\right)$
We have
$p\left(2\right)=2^2+3\left(2\right)-1=4+6-1=9$

$\therefore$ The remainder is 9.