SOLUTION: Please help. (x^2+x+6)(x-6) Thank you.

Algebra ->  Equations -> SOLUTION: Please help. (x^2+x+6)(x-6) Thank you.      Log On


   

Question 124400: Please help.
(x^2+x+6)(x-6)
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2Bx%2B6%29%28x-6%29 Start with the given expression


%28x-6%29%28x%5E2%2Bx%2B6%29 Rearrange the terms



x%28x%5E2%2Bx%2B6%29-6%28x%5E2%2Bx%2B6%29 Expand the expression. Remember something like %28a%2Bb%29%28c%2Bd%2Be%29 expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


x%5E3%2Bx%5E2%2B6x-6x%5E2-6x-36 Multiply


-5x%5E2%2Bx%5E3-36 Combine like terms



x%5E3-5x%5E2-36 Now rearrange the terms in descending order


So %28x%5E2%2Bx%2B6%29%28x-6%29 expands and simplifies to x%5E3-5x%5E2-36.

In other words, %28x%5E2%2Bx%2B6%29%28x-6%29=x%5E3-5x%5E2-36




If you need more help with multiplying polynomials, check out this Long Multiplication Calculator