Identify Polynomials: Identify the polynomials to be added.We have two polynomials: 7x2−9x and 7x−1. We need to add these polynomials together.
Align Like Terms: Align the like terms.When adding polynomials, we combine the like terms. The like terms are those that have the same variable raised to the same power.
Perform Addition: Perform the addition.(7x2−9x)+(7x−1)Combine the x2 terms: 7x2 (there are no other x2 terms to combine with).Combine the x terms: −9x+7x.Combine the constant terms: −1 (there are no other constant terms to combine with).
Simplify Expression: Simplify the expression.(7x2−9x)+(7x−1)=7x2+(−9x+7x)−1=7x2−2x−1