Question

is the remainder when $3x^2-7x+5$ is divided by $(x-1)$.

• A. 0
• B. 1
• C. 2

Answer 1

The correct option is B 1

Given $f\left(x\right)$ = $3x^2-7x+5$
To find the remainder when it is divided by $(x-1)$, we use remainder theorem.

Remainder of $\frac{f\left(x\right)}{(x-a)}$ is $f\left(a\right)$.

$f\left(1\right)=3-7+5=1$
$\Rightarrow$ The remainder when $3x^2-7x+5$ is divided by $(x-1)$ is 1.