Question

When $p\left(x\right)=4x^3-12x^3+11x-5$ is divided by (2x - 1), the remainder is

• A. 0
• B. -5
• C. -2
• D. 2

Answer 1

The correct option is C

-2

When p(x) is divided by (2x-1), we get
$=p\left(\frac{1}{2}\right)=\{4\times {\left(\frac{1}{2}\right)}^3-12\times {\left(\frac{1}{2}\right)}^2+11\times \frac{1}{2}-5\}=(4\times \frac{1}{8}-12\times \frac{1}{4}+\frac{11}{2}-5)=(\frac{1}{2}-3+\frac{11}{2}-5)=-2$
Hence remainder is -2.