Naming polynomials worksheet

Two labels on every polynomial: what its highest power is, and how many terms it has. The harder levels leave gaps in the middle, so the number of terms stops matching the degree.

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Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Naming Polynomials Date Period Name each polynomial by degree and number of terms. $- 9 a^{2} + 7 a + 3$ $- 1$ $8$ $- 3 a^{3} - 7 a^{2} + 9 a + 5$ $- 9 n^{2} + 8 n$ $- 8 a^{3} + 2 a + 8$ $5 n^{3} - 2 n + 2$ $3$ $- 3$ $n^{2} + 9 n + 3$ $2 y^{2} + 8 y - 3$ $6 p - 9$ $9$ $- 7 x^{3} + 5 x^{2} + 3 x - 2$ $6 v^{3} - 4 v^{2} + v - 6$ $3 a^{3} + 2 a^{2} + 6$ $1$ $5 m^{2} - 9 m + 2$ $9 p^{2} + p + 7$ $- v - 7$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Naming Polynomials

Date Period

Name each polynomial by degree and number of terms.

$- 9 a^{2} + 7 a + 3$
$- 1$
$8$
$- 3 a^{3} - 7 a^{2} + 9 a + 5$
$- 9 n^{2} + 8 n$
$- 8 a^{3} + 2 a + 8$
$5 n^{3} - 2 n + 2$
$3$
$- 3$
$n^{2} + 9 n + 3$
$2 y^{2} + 8 y - 3$
$6 p - 9$
$9$
$- 7 x^{3} + 5 x^{2} + 3 x - 2$
$6 v^{3} - 4 v^{2} + v - 6$
$3 a^{3} + 2 a^{2} + 6$
$1$
$5 m^{2} - 9 m + 2$
$9 p^{2} + p + 7$
$- v - 7$



Sigma Prep · sigmaprep.io/worksheets Name Naming PolynomialsAnswer keyVersion 1 Date Period Name each polynomial by degree and number of terms. $- 9 a^{2} + 7 a + 3$ Quadratic trinomial $- 1$ Constant monomial $8$ Constant monomial $- 3 a^{3} - 7 a^{2} + 9 a + 5$ Cubic polynomial with 4 terms $- 9 n^{2} + 8 n$ Quadratic binomial $- 8 a^{3} + 2 a + 8$ Cubic trinomial $5 n^{3} - 2 n + 2$ Cubic trinomial $3$ Constant monomial $- 3$ Constant monomial $n^{2} + 9 n + 3$ Quadratic trinomial $2 y^{2} + 8 y - 3$ Quadratic trinomial $6 p - 9$ Linear binomial $9$ Constant monomial $- 7 x^{3} + 5 x^{2} + 3 x - 2$ Cubic polynomial with 4 terms $6 v^{3} - 4 v^{2} + v - 6$ Cubic polynomial with 4 terms $3 a^{3} + 2 a^{2} + 6$ Cubic trinomial $1$ Constant monomial $5 m^{2} - 9 m + 2$ Quadratic trinomial $9 p^{2} + p + 7$ Quadratic trinomial $- v - 7$ Linear binomial Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Naming PolynomialsAnswer keyVersion 1

Date Period

Name each polynomial by degree and number of terms.

$- 9 a^{2} + 7 a + 3$ Quadratic trinomial
$- 1$ Constant monomial
$8$ Constant monomial
$- 3 a^{3} - 7 a^{2} + 9 a + 5$ Cubic polynomial with 4 terms
$- 9 n^{2} + 8 n$ Quadratic binomial
$- 8 a^{3} + 2 a + 8$ Cubic trinomial
$5 n^{3} - 2 n + 2$ Cubic trinomial
$3$ Constant monomial
$- 3$ Constant monomial
$n^{2} + 9 n + 3$ Quadratic trinomial
$2 y^{2} + 8 y - 3$ Quadratic trinomial
$6 p - 9$ Linear binomial
$9$ Constant monomial
$- 7 x^{3} + 5 x^{2} + 3 x - 2$ Cubic polynomial with 4 terms
$6 v^{3} - 4 v^{2} + v - 6$ Cubic polynomial with 4 terms
$3 a^{3} + 2 a^{2} + 6$ Cubic trinomial
$1$ Constant monomial
$5 m^{2} - 9 m + 2$ Quadratic trinomial
$9 p^{2} + p + 7$ Quadratic trinomial
$- v - 7$ Linear binomial

How to do these

$4 x^{2} - 7 x + 1$

The highest power is 2, so it is quadratic.
Count the terms: three of them.

The answer is $Q u a d r a t i c t r i n o m i a l$ .

Where students go wrong

Counting the degree from the number of terms, or the other way round. They are independent: x⁵ - 2 is a quintic binomial, with a high degree and only two terms. Read the highest power for one and count for the other.

Also called classifying polynomials, degree of a polynomial or monomial binomial trinomial.

Questions about these worksheets

Yes. Every naming polynomials sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the naming polynomials questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Naming polynomials worksheet

Select your difficulty

Naming Polynomials

Naming PolynomialsAnswer keyVersion 1

How to do these

Where students go wrong

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