Classify nonzero one-variable polynomials by degree and number of terms, and identify their degree and leading coefficient, including constants, missing powers, and negative or fractional coefficients. Evaluate one- or multivariable polynomial expressions for specified real values, and add or subtract polynomials by managing signs, distributing negatives, and combining like terms in standard form. Multiply monomials by polynomials and one-variable binomials using the distributive property and exponent laws, and expand the special products for binomial squares and conjugates.
On this page:
- Master skills like “Multiply two binomials”, “Add polynomial expressions”, and “Evaluate polynomial expressions” with unlimited, free practice problems
- Download (or modify) free worksheets on Polynomial Operations you can use at home or in class with practice problems across all skills in this group including “Multiply a monomial by a polynomial”, “Expand special products of binomials”, “Classify polynomials by degree and number of terms”.
- Start working on adaptive units like “Polynomials and Quadratics - Intro” or “Algebra Manipulating Variables - Advanced” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Polynomial Operations: Individual Skills
Master 7 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Add polynomial expressions'
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Download/Modify Free Grade 10 'Polynomial Operations' Worksheet
Print this free 'Polynomial Operations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Add polynomial expressions
- Classify polynomials by degree and number of terms
- Evaluate polynomial expressions
- Expand special products of binomials
- Identify the degree and leading coefficient of a polynomial
- Multiply a monomial by a polynomial
- Multiply two binomials
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Polynomial Operations) through scaffolded problems that grow in difficulty as concepts are understood.