SOLUTION: plese Simplify the following and state the degree of the resulting polynomial: ( x 3 + 3x + 2) * ( x + 1) – ( x 4 + x 2 + 2x).

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: plese Simplify the following and state the degree of the resulting polynomial: ( x 3 + 3x + 2) * ( x + 1) – ( x 4 + x 2 + 2x).      Log On


   

Question 253767: plese Simplify the following and state the degree of the resulting polynomial: ( x 3 + 3x + 2) * ( x + 1) – ( x 4 + x 2 + 2x).
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Email me at justin.sheppard.tech@hotmail.com and I will send you the link to an online whiteboard. I will show you how to do this in the online whiteboard (it has voice over IP (VOIP) also, so you can hear my explanations.
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Distribute the x to each term of ( x 3 + 3x + 2). Then distribute the 1 to each term of ( x 3 + 3x + 2). the negative here " – ( x 4 + x 2 + 2x)" Goes with everything in the parenthesis, so distribute it to each term. Combine all this together by adding/subtracting like terms. I believe your x^4 terms cancel out and there are no x^3 terms, so this will be a 2nd degree polynomial.
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Justin