Polynomials worksheet generator
Polynomial arithmetic: combine like terms, distribute a monomial, or multiply two binomials with FOIL.
Polynomials
- 1.(9x² + 3x) + (5x² − 8x) =
- 2.(5x² + 4x) + (1x² − 7x) =
- 3.(9x² + 8x) + (5x² − 9x) =
- 4.(9x² + 9x) + (6x² − 3x) =
- 5.(5x² + 3x) + (7x² − 8x) =
- 6.(6x² + 8x) + (8x² − 6x) =
- 7.(5x² + 1x) + (3x² − 2x) =
- 8.(7x² + 1x) + (3x² − 1x) =
- 9.(6x² + 9x) + (4x² − 2x) =
- 10.(1x² + 7x) + (8x² − 1x) =
- 11.(6x² + 7x) + (9x² − 1x) =
- 12.(6x² + 9x) + (6x² − 8x) =
- 13.(5x² + 3x) + (3x² − 5x) =
- 14.(7x² + 3x) + (1x² − 8x) =
- 15.(4x² + 9x) + (2x² − 1x) =
- 16.(2x² + 7x) + (4x² − 7x) =
- 17.(4x² + 1x) + (4x² − 9x) =
- 18.(9x² + 7x) + (3x² − 1x) =
- 19.(6x² + 2x) + (5x² − 2x) =
- 20.(8x² + 9x) + (3x² − 7x) =
Polynomials — Answer Key
- 1.(9x² + 3x) + (5x² − 8x) = 14x² − 5x
- 2.(5x² + 4x) + (1x² − 7x) = 6x² − 3x
- 3.(9x² + 8x) + (5x² − 9x) = 14x² − 1x
- 4.(9x² + 9x) + (6x² − 3x) = 15x² + 6x
- 5.(5x² + 3x) + (7x² − 8x) = 12x² − 5x
- 6.(6x² + 8x) + (8x² − 6x) = 14x² + 2x
- 7.(5x² + 1x) + (3x² − 2x) = 8x² − 1x
- 8.(7x² + 1x) + (3x² − 1x) = 10x² + 0x
- 9.(6x² + 9x) + (4x² − 2x) = 10x² + 7x
- 10.(1x² + 7x) + (8x² − 1x) = 9x² + 6x
- 11.(6x² + 7x) + (9x² − 1x) = 15x² + 6x
- 12.(6x² + 9x) + (6x² − 8x) = 12x² + 1x
- 13.(5x² + 3x) + (3x² − 5x) = 8x² − 2x
- 14.(7x² + 3x) + (1x² − 8x) = 8x² − 5x
- 15.(4x² + 9x) + (2x² − 1x) = 6x² + 8x
- 16.(2x² + 7x) + (4x² − 7x) = 6x² + 0x
- 17.(4x² + 1x) + (4x² − 9x) = 8x² − 8x
- 18.(9x² + 7x) + (3x² − 1x) = 12x² + 6x
- 19.(6x² + 2x) + (5x² − 2x) = 11x² + 0x
Polynomials — Answer Key
- 20.(8x² + 9x) + (3x² − 7x) = 11x² + 2x
At a glance
The polynomials worksheet generator makes a fresh printable practice sheet in seconds. Add, subtract and multiply simple polynomials. Every time you change a setting, the page rebuilds instantly, so you can print a different sheet for every group or lesson. It is designed for clean printing on US Letter or A4 paper with half-inch margins.
What the polynomials worksheet generator does
Each time you open the polynomials worksheet generator it draws a brand new set of problems, which means you can print a different sheet for every group.
Choose the problem type — Add & subtract, Multiply by a monomial and Multiply binomials (FOIL) — then set the difficulty, how many problems you want and how many columns they sit in. The preview updates as you change each setting, so the page you see is exactly the page that prints.
Leave the answer key switched on and it prints on its own sheet behind the worksheet, matched problem for problem. Everything fits inside a standard half-inch margin, and you can switch between US Letter and A4 before printing.
When to use a polynomials worksheet
Add, subtract and multiply simple polynomials. Because the problems regenerate, the same polynomials worksheet generator covers a warm-up on Monday, a homework sheet on Wednesday and a quick check on Friday without any of them repeating.
A short page of eight to twelve problems works well as a lesson opener, while a full page suits independent practice, homework or a review folder. At home, printing the same settings twice lets you work one copy together and leave the second for solo practice.
Common mistakes on polynomials problems
Check the answer back in the original problem when there is time; it takes seconds and catches sign errors.
When accuracy is high but the page takes a long time, keep the difficulty and shorten the sheet; fluency comes from frequent short practice rather than from longer worksheets.
Created by Tim van de Vall
B.S. in Computational Media, Georgia Institute of Technology. Each polynomials worksheet generator is designed for clean printing on US Letter and A4 paper.
Updated 2026-08-14About the authorEditorial policy
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Polynomials worksheet generator FAQ
- What does FOIL stand for?
- First, Outer, Inner, Last — the four products you take when multiplying two binomials, which you then combine.
- How do I print or save these worksheets as a PDF?
- Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
- Can I get a fresh set of problems?
- Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
- Is this worksheet generator free?
- Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.
