Polynomials practice
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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Find each term’s degree by adding its variable exponents. The greatest term degree is the degree of the polynomial.
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Customize this worksheetA 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.
Each customized student worksheet and its answer key use the same generated questions. Start with a focused set of structures, check the worked reasoning, then generate a fresh set when the learner is ready.
Learning objective
Use the largest total degree among the nonzero terms of a polynomial.
Worked example
The term degrees are 5, 2 and 0, so the polynomial has degree 5.
For 5x²y³, add 2 + 3. The coefficient 5 does not affect the degree, and the nonzero constant 8 has degree zero.
Teaching notes
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A useful next step
Polynomials
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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Polynomials
Distribute a monomial across a polynomial in ten problems. Select from twelve expression structures, keep powers and signs exact, and check a separate worked answer key.
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