Identify Like Terms: Identify the like terms in both polynomials.(3v2+7v+1)+(8v2+2v) can be rearranged to group like terms together.
Combine Like Terms: Combine the like terms.Add the coefficients of the v2 terms: 3v2+8v2=11v2.Add the coefficients of the v terms: 7v+2v=9v.The constant terms: 1, as there is no corresponding constant in the second polynomial.
Write Final Expression: Write the final expression.Combine the results from the previous step to get the final expression: 11v2+9v+1.