SOLUTION: I know that it is possible to add two polynomianls each of degree 3, and have the sum be a polynomial of degree 2, what I need is to see an example of this please. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I know that it is possible to add two polynomianls each of degree 3, and have the sum be a polynomial of degree 2, what I need is to see an example of this please. Thank you       Log On


   

Question 129588: I know that it is possible to add two polynomianls each of degree 3, and have the sum be a polynomial of degree 2, what I need is to see an example of this please. Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Example:

Let's add x%5E3-2x%2B1 and -x%5E3%2B5x%5E2%2B7 (notice these are both polynomials of degree 3) to get


%28x%5E3-2x%2B1%29%2B%28-x%5E3%2B5x%5E2%2B7%29



%28x%5E3-x%5E3%29%2B5x%5E2-2x%2B%281%2B7%29 Group like terms


5x%5E2-2x%2B8 Combine like terms


Notice how the result is a polynomial of degree 2