SOLUTION: Express the polynomial in the form P(x)=(x-k)Q(x)+r for the given value of k P(x)= {{{x^3-x^2+3}}}; k= -2 I think I have to divide both sides by (x-k) so {{{(x^3-x^2+3)/(

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Express the polynomial in the form P(x)=(x-k)Q(x)+r for the given value of k P(x)= {{{x^3-x^2+3}}}; k= -2 I think I have to divide both sides by (x-k) so {{{(x^3-x^2+3)/(      Log On


   



Question 634868: Express the polynomial in the form P(x)=(x-k)Q(x)+r for the given value of k
P(x)= x%5E3-x%5E2%2B3; k= -2
I think I have to divide both sides by (x-k)
so %28x%5E3-x%5E2%2B3%29%2F%28x%2B2%29=+%28Q%2Br%29+%2F%28x-k%29? but I am getting lost at that point and I don't know what to put for the Q+r part

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Express the polynomial in the form P(x)=(x-k)Q(x)+r for the given value of k
P(x)=x%5E3-x%5E2%2B3; ; k= -2
%28x%5E3-x%5E2%2B3%29%2F%28x%2B2%29 Yes. good work
Perform routine long divsion: %28x%2B2%29%28x%5E2+-+3x+%2B+6%29++-9%2F%28x%2B2%29
x+2 |x^3-x^2 + 3