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Multiplying Polynomials Practice

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Multiplying Polynomials Practice

Distribute each term carefully, then combine like terms. Show your work for each problem.

Monomial × Polynomial

Use the distributive property to multiply each monomial by every term inside the parentheses.

1.Expand and simplify: 4x(3x − 2).
2.Expand and simplify: −3y(2y² + y − 5).
3.Expand and simplify: 2ab²(3a − 2b + 4).
4.Which expression is equivalent to 6m(2m + 3)?
  • 12m² + 18m
  • 12m² + 3
  • 8m + 18m
  • 12m² − 18m

Binomial × Binomial

Multiply each term in the first binomial by each term in the second, then combine like terms.

5.Expand and simplify: (x + 5)(x + 3).
6.Expand and simplify: (2x − 5)(x + 4).
7.Expand and simplify: (4y + 3)(y − 2).
8.Choose the product of (p − 6)(p + 6).
  • p² − 36
  • p² + 36
  • p² − 12p + 36
  • 2p
9.Expand and simplify: (3a − 2)(2a − 7).

More Challenging Products

Multiply the polynomials and collect all like terms.

10.Expand and simplify: (x − 2)(x² + 4x + 3).
11.Expand and simplify: (a + 2b)(a² − 3ab + b²).
12.A rectangular banner has a length of (4x + 1) inches and a width of (x − 3) inches. Write and simplify a polynomial for its area in square inches.
13.In your own words, describe a reliable way to multiply two polynomials. Include what you do with like terms.

3 printable pages

  • Multiplying Polynomials Practice, page 1 of 3: Monomial × Polynomial, Binomial × Binomial

    Page 1

  • Multiplying Polynomials Practice, page 2 of 3: More Challenging Products

    Page 2

  • Multiplying Polynomials Practice, page 3 of 3: 12. A rectangular banner has a length of (4x + 1) inches and a width of (x − 3) inches.…

    Page 3

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