If $(x+1)$ is factor of $x^3+k x^2-3 x+k+2$, then $k$ is equal to:

JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

(x+1)

is factor of

x^3+k x^2-3 x+k+2

, then

k

is equal to:

View answer and explanation

Correct option: C

-2

Option C is correct because if (x+1) is a factor, then substituting x = -1 into the polynomial results in 0, which solves to k = -2.

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