Free Printable WorksheetMathAlgebra IIMath CurriculumA-SSE.3a

ALG2.37 Polynomial Factoring Strategies Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.37 Polynomial Factoring Strategies. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.37 Polynomial Factoring Strategies - Factor quadratics (including non-monic), difference of squares, and factor by grouping; use sum and difference of cubes when applicable. Associated source-listed standards: CCSS A-SSE.3a; A-APR.1; CA CCSSM A-SSE.3a; A-APR.1; MA 2017 A-SSE.3a; A-APR.1; NY NGLS A-SSE.3a; A-APR.1; TX TEKS Algebra II: §111.40.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.37 Polynomial Factoring Strategies skill assessments:

Problem 1Difficulty: Mastery
Factor completely: completely: 81a4 - 16b4.
A(9a2 - 4b2)(9a2 + 4b2)
B(3a - 2b)2(9a2 + 4b2)
CPrime over the integers
D(3a - 2b)(3a + 2b)(9a2 + 4b2)
Solution & Explanation:Use difference of squares: 81a4 - 16b4 = (9a2 - 4b2)(9a2 + 4b2). Then factor 9a2 - 4b2 as (3a - 2b)(3a + 2b).
Problem 2Difficulty: Mastery
Select the fully factored form of 6x3 + x2 - 24x - 4.
A(6x + 1)(x2 - 4)
B(6x - 1)(x - 2)(x + 2)
C(6x + 1)(x - 2)(x + 2)
DPrime over the integers
Solution & Explanation:Group the terms: 6x3 + x2 - 24x - 4 = x2(6x + 1) - 4(6x + 1) = (6x + 1)(x2 - 4). Then factor x2 - 4 as (x - 2)(x + 2).
Problem 3Difficulty: Mastery
Which is the complete factorization of 25y2 - 30y + 9?
A(5y + 3)2
B(5y - 3)2
C(5y - 3)(5y + 3)
DPrime over the integers
Solution & Explanation:This is a perfect square trinomial because 25y2 = (5y)2, 9 = 32, and -30y equals 2(5y)(-3). So the factorization is (5y - 3)2.

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Frequently Asked Questions

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QHow do I download and print this ALG2.37 Polynomial Factoring Strategies worksheet?

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QIs this ALG2.37 Polynomial Factoring Strategies worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard A-SSE.3a (Factor quadratics (including non-monic), difference of squares, and factor by grouping; use sum and difference of cubes when applicable. Associated source-listed standards: CCSS A-SSE.3a; A-APR.1; CA CCSSM A-SSE.3a; A-APR.1; MA 2017 A-SSE.3a; A-APR.1; NY NGLS A-SSE.3a; A-APR.1; TX TEKS Algebra II: §111.40.).

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