(x + 1) is a factor of the polynomial: - Vidyadip

MCQ

$(x + 1)$ is a factor of the polynomial:

A
$x^3+x^2-x+1$
✓
$x^3+2 x^2-x-2$
C
$x^3+2 x^2-x+2$
D
$x^4+x^3+x^2+1$

✓

Answer

Correct option: B.

$x^3+2 x^2-x-2$

Given, $x^3+2 x^2-x-2$
For $f(-1)$,
$-1+2(-1)^2-(-1)-2$
$-1+2-1-2=0$
$x=-1$
$x+1=0$
So, $(x+1)$ is a factor of the polynomial $x^3+2 x^2-x-2$

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