Question

If $p\left(x\right)=2x^2+2x+5$ is divided by $(2x-1)$, then the remainder is ________.

• A. 7/2
• B. 10/2
• C. 13/2
• D. 1

Answer 1

The correct option is C

13/2

Consider $p\left(x\right)=2x^2+2x+5$

The remainder is $p\left(\frac{1}{2}\right)$

$p\left(\frac{1}{2}\right)=2(\frac{1}{2}{)}^2+2(\frac{1}{2})+5$

= $2\times \left(\frac{1}{4}\right)+1+5$

= $6\frac{1}{2}=\frac{13}{2}$

Therefore, the remainder is $\frac{13}{2}$.