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Worksheets›Algebra 1›Polynomials & factoring›Multiplying polynomials

Multiplying Polynomials Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSA.APR.A.1Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: A monomial times a binomial

  1. 1.x(6x + 1)
  2. 2.6x(−2x + 7)
  3. 3.−3x(6x + 8)
  4. 4.2x(6x − 1)
  5. 5.−x(−6x − 9)
  6. 6.6x(−x + 9)
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Multiply every term in the first factor by every term in the second (for two binomials: first, outer, inner, last), then combine like terms.

Easy5x(6x + 3)A monomial times a binomialMedium(x − 5)2(x + a)(x + b)Hard(2x − 2)(2x + 1)(ax + b)(cx + d) and squares

How to solve it: a worked example

Multiply. Write each answer in standard form.

  1. Start−4x(−6x − 6)
  2. Distribute24x2 + 24x
  3. Answer24x2 + 24x

Common mistakes to watch for

  • Squaring a binomial term by term: (x + 3)² is x² + 6x + 9, not x² + 9.
  • Forgetting the outer or inner product.
  • Dropping the sign of a negative constant when multiplying.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Adding and subtracting polynomialsFactoring trinomialsFactoring: GCF and special productsMulti-step inequalitiesAbsolute value equations

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix multiplying polynomials with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

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