SOLUTION: Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(? use long division to find the quotient Q(x) and the remainder R(x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(? use long division to find the quotient Q(x) and the remainder R(x)       Log On


   

Question 628540: Use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(?
use long division to find the quotient Q(x) and the remainder R(x) when p(x) is divided by d(x) and express p(x) in the form d(x) Q(x)+R(x)
P(x)=x^3+5x^2-27x+230
d(x)=x+10
p(x)=(x+10) ( ) + ? i need the answer for this here
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
      x^2 - 5x   + 23
      __________________________________
x+10 /x^3 +  5x^2 -27x  +230
      x^3 + 10x^2
      ===========
           -5x^2 -27x
           -5x^2 -50x
           ==========
                  23x + 230
                  23x + 230
                  =========
                          0

This makes Q%28x%29+=+x%5E2-5x%2B23 and R(x) = 0, making
P%28x%29+=+%28x%2B10%29%28x%5E2-5x%2B23%29+%2B+0 or just P%28x%29+=+%28x%2B10%29%28x%5E2-5x%2B23%29