Question

If x+2 is factor of x^3-6x^2-11x+k, then k=

Answer 1

we have the following:

`f(x)=x^3-6x^2-11x+k`

so, x + 2, x = - 2, replacing:

`\begin{gathered} f(-2)=(-2)^3-6(-2)^2-11(-2)+k \\ 0=-8-24+22+k \\ k=8+24-22 \\ k=10 \end{gathered}`

the value of k, is 10