SOLUTION: Hello , can you help with solving this problem ? I am at a lost as I have never worked with polynomials and get confused. Could you also show the steps how to solve this so I may u

Algebra ->  Equations -> SOLUTION: Hello , can you help with solving this problem ? I am at a lost as I have never worked with polynomials and get confused. Could you also show the steps how to solve this so I may u      Log On


   

Question 383573: Hello , can you help with solving this problem ? I am at a lost as I have never worked with polynomials and get confused. Could you also show the steps how to solve this so I may use this as a study example. Thank you.

Find the product of (x^2 -3x + 5) with the quotient of (10x^6 -15x^5 -5x^3) divided by 5x^3.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the product of (x^2 -3x + 5) with the quotient of (10x^6 -15x^5 -5x^3) divided by 5x^3.
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Do the division first.
%2810x%5E6+-+15x%5E5+-+5x%5E3%29%2F5x%5E3+=+2x%5E3+-+3x%5E2+-+1
Any questions about that?
Then multiply
%28x%5E2+-+3x+%2B+5%29%2A%282x%5E3+-+3x%5E2+-+1%29
Multiply the 2nd trinomial be each element of the 1st
=
= 2x%5E5+-+3x%5E4+-+x%5E2+-+6x%5E4+%2B+9x%5E3+%2B+3x+-+2x%5E3+%2B+3x%5E2+%2B+1
= 2x%5E5+-+9x%5E4+%2B+7x%5E3+%2B+2x%5E2+%2B+3x+%2B+1
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It's like bookkeeping, you just have to be careful.