Question

What is the remainder when $4x^4-3x^3+2x^2-x$ is divided by x + 1?

• A. 1
• B. 0
• C. 7
• D. 10

Answer 1

The correct option is D

10

Let, $p\left(x\right)=4x^4-3x^3+2x^2-x$

Then, when p(x) is divided by x + 1, the remainder = p(-1)

$=4\times (-1{)}^4-3\times (-1{)}^3+2\times (-1{)}^2-(-1)$

= 10