Question

If (x+2) is a factor of x^3-6x^2+kx+10, k=

Answer 1

k=-11

Explanation:

for plato

Answer 2

If a binomial
`(x-a)` is a factor of a polynomial, then
`a` is a root of this polynomial.


`(x+2)=(x-(-2)) \Rightarrow a=-2\\\\ (-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\ -8-24-2k+10=0\\ -2k=22\\\ \boxed{k=-11}`