Question

If x+k is a factor of polynomial x3 + kx2-2x+k+4 then find the value of k

Answer 1

The value of k is -4/3
I hope it helps

Answer 2

Answer:

The value of k is -4/3

Step-by-step explanation:

Since (x+k) is a factor of the polynomial $x^3+kx^2-2x+k+4$

Hence, x = -k must be the zero of this polynomial.

Hence, from factor theorem, we have

$(-k)^3+k(-k)^2-2(-k)+k+4=0\\\\-k^3+k^3+2k+k+4=0\\\\3k+4=0\\\\k=-\frac{4}{3}$

Therefore, the value of k is -4/3