Answer :
If a binomial [tex](x-a)[/tex] is a factor of a polynomial, then [tex]a[/tex] is a root of this polynomial.
[tex](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} [/tex]
[tex](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} [/tex]
