Multiplying Polynomials - Worksheets

Practice multiplying polynomial expressions through progressively varied worksheets, from monomial products to products with multiple terms and variables.
Grades
Grades 9–12
Pages
27
File type
PDF
Answer key
Included

Updated Sep 18, 2026

Subject
Math, Algebra
Topic
Multiplying polynomials, Binomials and trinomials
Resource types
Worksheets, Assessments
Answer key
Included
Standards
HSA-APR.A.1

Product description

From the author

Worksheets for practicing multiplying monomials, binomials, trinomials, and polynomials with four or more terms, with and without exponents.

Every Worksheet has 12 questions, which start simple but then develop gradually with questions 11 & 12 being more challenging. The 6 Sets are also arranged in an order that will hopefully help you to plan building the students' knowledge, skills and confidence with multiplying polynomials.

By being able to randomise the numbers in the questions at the click of a button you will be able to generate sufficient worksheets for as much practice throughout the year as is needed to keep the skills alive.

Worksheet Set 1
Students are asked to multiply simple monomials by (mainly) binomials, with some tri- & a quadri- nomial. There are no exponents to calculate.

Worksheet Set 2

Students are required to multiply binomials by a monomial, moving a stage further to include exponents in each term.

Worksheet Set 3

This set involves multiplying two or more monomials each with a number of variables with exponents.

Worksheet Set 4 
Students now practice multiplying two binomials which will include calculating multiplying variables with exponents, plus the added step of needing to combine like terms to obtain the final answer.

Worksheet Set 5

This Set contains questions that include multiplying binomials by trinomials, trinomials by trinomials and trinomials raised to the power of 2 and 3 and students will practice combining like terms.

Worksheet Set 6

This has an extra element in that instead of only using the standard algorithms for multiplying polynomials there is an alternative using Pascal's triangle as a way to calculate binomial terms raised to various powers through recognising the symmetry of the powers and building of the coefficients for each term.

There is additional support material for this set.

Answers are automatically generated every time.

Note

The creator recommends desktop Adobe Acrobat Reader on Windows or Mac for the interactive controls. Check the randomization and answer updates on your intended device before class.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Multiply polynomial expressions using distribution.
  • Combine like terms in a product.

Teaching tips

  • Ask students to mark each distributed product before simplifying the expression.

Skills covered

  • Distribution, exponent rules, combining like terms

Good to know

Questions teachers ask about this resource

How can I choose a starting worksheet?

Start with a set whose number of terms and use of powers match your lesson, then progress to products that require more distribution and combining like terms.

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