Question

The remainder when $x^3+4x^2-7x+6$ is divided by $x-1$ is

• A. 4
• B. 4.0
• C. 4.00
• D. 04

Answer 1

Answer: (A), (B), (C), (D)

Let $f\left(x\right)=x^3+4x^2-7x+6$

According to remainder theorem, if a polynomial $f\left(x\right)$ is divided by a linear function $x-k$, then the remainder is $f\left(k\right)$.

The remainder when $f\left(x\right)$ is divided by $x-1$ is
$f\left(1\right)=1^3+4(1{)}^2-7+6=4$