x + 1 is a factor of the polynomial. - Vidyadip

MCQ

$x + 1$ is a factor of the polynomial.

A
$x^3 - 2x^2 + x + 2$
B
$x^3 + 2x^2 + x - 2$
✓
$x^3 + 2x^2 - x - 2$
D
$x^3 + 2x^2 - x + 2$

✓

Answer

Correct option: C.

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

$ x^3 + 2x^2 - x - 2$
$= x^2 (x + 2) - 1(x + 2)$
$= (x^2 - 1) (x + 2)$
$= (x + 1) (x - 1) (x + 2)$

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