Students factor out the greatest common monomial factor from integer-coefficient binomials and trinomials and use grouping to reveal common binomial factors in standard low-degree polynomial expressions. They recognize and apply differences of squares, perfect-square trinomials, monic quadratic trinomials, and quadratic trinomials with non-unit integer leading coefficients, including appropriate sign choices. They select an efficient factoring strategy, factor expressions completely when possible, and verify equivalent factored forms by multiplication to support simplifying rational expressions and solving polynomial equations.
On this page:
- Master skills like “Factor differences of squares”, “Factor by grouping common terms”, and “Factor perfect-square trinomials” with unlimited, free practice problems
- Download (or modify) free worksheets on Factoring and Algebraic Expressions you can use at home or in class with practice problems across all skills in this group including “Factor polynomial expressions completely”, “Select an appropriate factoring strategy”, “Factor the greatest common monomial factor”.
- Start working on adaptive units like “Polynomials and Quadratics - Practice” or “Polynomials Factoring of Quadratics - Advanced” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Factoring and Algebraic Expressions: Individual Skills
Master 8 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Factor by grouping common terms
- Factor differences of squares
- Factor perfect-square trinomials
- Factor polynomial expressions completely
- Factor simple trinomials with leading coefficient one
- Factor the greatest common monomial factor
- Factor trinomials with a non-unit leading coefficient
- Select an appropriate factoring strategy
Practice 'Factor by grouping common terms'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 10 'Factoring and Algebraic Expressions' Worksheet
Print this free 'Factoring and Algebraic Expressions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Factor by grouping common terms
- Factor differences of squares
- Factor perfect-square trinomials
- Factor polynomial expressions completely
- Factor simple trinomials with leading coefficient one
- Factor the greatest common monomial factor
- Factor trinomials with a non-unit leading coefficient
- Select an appropriate factoring strategy
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Factoring and Algebraic Expressions) through scaffolded problems that grow in difficulty as concepts are understood.