SOLUTION: {{{x^3-hx^2+kx-9}}} has a factor of {{{x^2+3}}} ,find h and k and the other factor. _thank you in advance tutor

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{x^3-hx^2+kx-9}}} has a factor of {{{x^2+3}}} ,find h and k and the other factor. _thank you in advance tutor      Log On


   

Question 112359: x%5E3-hx%5E2%2Bkx-9 has a factor of x%5E2%2B3 ,find h and k and the other factor.
_thank you in advance tutor
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-hx^2+kx-9
.
the first number the 2nd factor would have to be x in order to get x^3 and the last number would have to be -3 tob get -9.
So the 2nd factor is (x-3)
.
(x^2+3)(x-3)=x^3-3x^2+3x-9
h=3 and k=3
.
Ed