Question

For what value of k, x – 3 is a factor of P(x) = x3 – 6x2

- kx – 6

Answer 1

Hope the solution helps.

Answer 2

Here is your answer
If x-3 is a factor. then. x-3 =0.
Or x =3
Therefore p(x) =0 put it in it we get
$x {}^{3} - 6x {}^{2} - kx - 6 = 0 \\ 3 {}^{3} - 6(3) {}^{2} - k(3) - 6 = 0 \\ 27 - 54 - 3k - 6 = 0 \\ - 3k - 33 = 0 \\ - 3k = 33 \\ k = - 33 \div 3 \\ k =- 11$
Hope it helps you
If helps mark as brainliest