Question

The remainder obtained when $2x^2-3x+5$ is divided by $(x+1)$ is _____.

• A. 3
• B. 5
• C. 8
• D. 10

Answer 1

The correct option is D 10

Accordong to remainder theorem, remainder obtained when $f\left(x\right)$ divided by $(x-a)$ is $f\left(a\right)$.

Here $f\left(x\right)=2x^2-3x+5$ .

The remainder obtained when $2x^2-3x+5$ is divided by $(x+1)$ is $f(-1)$.

$⟹\text{remainder}=2\times (-1{)}^2-3\times (-1)+5=10$