Question 129588
Example:


Let's add {{{x^3-2x+1}}} and {{{-x^3+5x^2+7}}} (notice these are both polynomials of degree 3) to get



{{{(x^3-2x+1)+(-x^3+5x^2+7)}}}




{{{(x^3-x^3)+5x^2-2x+(1+7)}}} Group like terms



{{{5x^2-2x+8}}} Combine like terms



Notice how the result is a polynomial of degree 2