SOLUTION: Essay: Show all work. Find the following product: (x^2+8)(x^3+7x-3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Essay: Show all work. Find the following product: (x^2+8)(x^3+7x-3)      Log On


   

Question 585909: Essay: Show all work. Find the following product:
(x^2+8)(x^3+7x-3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B8%29%28x%5E3%2B7x-3%29 Start with the given expression.


x%5E2%28x%5E3%2B7x-3%29%2B8%28x%5E3%2B7x-3%29 Expand.


Distribute.


x%5E5%2B7%2Ax%5E3-3%2Ax%5E2%2B8%2Ax%5E3%2B56%2Ax-24 Multiply.


x%5E5%2B15%2Ax%5E3-3%2Ax%5E2%2B56%2Ax-24 Now combine like terms.


So %28x%5E2%2B8%29%28x%5E3%2B7x-3%29 expands to x%5E5%2B15x%5E3-3x%5E2%2B56x-24.


In other words, %28x%5E2%2B8%29%28x%5E3%2B7x-3%29=x%5E5%2B15x%5E3-3x%5E2%2B56x-24 for all values of x.

--------------------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------