Question

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

• A. 4
• B. 6
• C. 8
• D. 10

Answer 1

The correct option is B

6

Remainder theorem:

"When we divide f(x) by the simple polynomial x−c , the remainder will be r=f(c) .

Here, f(x) = $x^2+3x+2$, x- c = x-1 , c= 1

Replace x by c in f(x). we get ..

f(c) = $c^2+3c+2$.

f(1) = $1^2+3\left(1\right)+2=1+3+2=6$.

r = f(c) = f(1) = 6