Course Glossary

Adding and Subtracting Polynomials

female student typing on laptop with calculator nearby

problem set iconUsing your knowledge of adding and subtracting polynomials, solve each problem shown below. Follow the instructions for each portion, answer all of the questions, and make sure to show all of your work.

This activity is available below or in a printable document.

For problems 1–3, find each sum or difference.

  1. (3y2 2y + 2) + (7y2 4y 1)
  2. (11x2 6x + 7) + (5x2 + x 7)
  3. (8a2 + 9a 2) (4a2 + 5)

For problems 4–7, give an example of each polynomial described.

  1. Give an example of two trinomials whose difference is zero.
  2. Give an example of a binomial whose leading coefficient is even.
  3. Give an example of a monomial with a degree of 7.
  4. Give an example of a polynomial with a degree of 3.

For problem 8, answer in complete sentences and using math vocabulary.

  1. Is the following polynomial in standard form? Explain your reasoning. 9x3 + 3x − 2x2 + 4.

assignment icon
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