Polynomials
Identifying polynomial degree worksheets
Find the degree of ten monomials and polynomials. Select one through six terms, compare term degrees and check a separate key with the exponent calculations.
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Identifying polynomial types worksheets
Classify ten expressions by their number of terms. Choose one through six terms and use a separate worked key to distinguish monomials, binomials, trinomials and longer polynomials.
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Count the terms separated by addition or subtraction. Treat the coefficient and variable factors together as one term.
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Customize this worksheetFollow the structure before calculating
A term is a product of a coefficient and variable powers. Addition and subtraction separate terms; parentheses organize whole polynomials. Keep those boundaries clear before counting terms, finding degrees or applying an operation.
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Learning objective
What this activity builds
Classify a collected polynomial by counting its nonzero terms.
Worked example
What type of polynomial is 4x² − 3x + 7?
It is a trinomial: 4x², −3x and 7 are three terms.
The exponent in 4x² does not create extra terms. A constant such as 7 is a term too.
Teaching notes
Make the practice count
- Mark term boundaries before naming the type.
- Keep each minus sign with its term.
- Distinguish the number of terms from the degree.
- Collect like terms before classifying an expression that has not been simplified.
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Related activities
Polynomials
Adding and subtracting polynomials worksheets
Print a 10-question adding and subtracting polynomials worksheet. Choose two or three grouped polynomials with four to nine terms and worked answers.
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