SOLUTION: 7. Essay: Show all work. Find the following product: (x^2-2)(x^3-4x+9) please help me with this!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 7. Essay: Show all work. Find the following product: (x^2-2)(x^3-4x+9) please help me with this!       Log On


   

Question 503710: 7. Essay: Show all work. Find the following product:

(x^2-2)(x^3-4x+9)

please help me with this!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-2%29%28x%5E3-4x%2B9%29 Start with the given expression.


x%5E2%28x%5E3-4x%2B9%29-2%28x%5E3-4x%2B9%29 Expand. Note: %28A%2BB%29%28C%2BD%2BE%29+=+A%28C%2BD%2BE%29%2BB%28C%2BD%2BE%29


Distribute.


x%5E5-4x%5E3%2B9x%5E2-2x%5E3%2B8x-18 Multiply.


x%5E5-6x%5E3%2B9x%5E2%2B8x-18 Now combine like terms.


So %28x%5E2-2%29%28x%5E3-4x%2B9%29 expands to x%5E5-6x%5E3%2B9x%5E2%2B8x-18.


In other words, %28x%5E2-2%29%28x%5E3-4x%2B9%29=x%5E5-6x%5E3%2B9x%5E2%2B8x-18.

If you need more help, feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim