Write Problem & Align Terms: Write down the problem and align like terms.(3q2+5q+8)+(3q2+4q+1)Here, we align the terms with the same degree: q2 terms, q terms, and constant terms.
Add q2 Terms: Add the q2 terms.(3q2+3q2)=6q2We add the coefficients of the q2 terms together.
Add q Terms: Add the q terms.(5q+4q)=9qWe add the coefficients of the q terms together.
Add Constant Terms: Add the constant terms.(8+1)=9We add the constant terms together.
Combine Results: Combine the results from steps 2, 3, and 4 to get the final answer.6q2+9q+9We combine the like terms to get the sum of the polynomials.