Factoring Trinomials Worksheet – When a is Not 1

Students factor trinomials with leading coefficients greater than one and match a factor to an answer bank. Answer keys show the complete factorizations.
Grades
High School
Pages
4
File type
PDF
Answer key
Included

Updated Feb 19, 2024

Subject
Math, Algebra
Topic
Factoring trinomials, Leading coefficient
Answer key
Included
Standards
HSA-SSE.B.3

Product description

From the author

Practice factoring 18 trinomials whose leading coefficient is greater than one. Each student page contains nine expressions and a lettered bank of binomial factors. Students write the complete factorization, then match one factor to a letter in the bank.

The four-page PDF includes two student pages and two answer-key pages showing complete factorizations and matching letters. The task is factoring expressions; it does not ask students to solve equations for zeros.

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Factor trinomials whose leading coefficient is greater than one

  • Manage positive and negative terms when testing binomial factors

  • Recognize the perfect-square expression 9x² + 24x + 16

Teaching tips

  • Ask students to write both factors before choosing a letter; the bank supplies only one factor from each pair.

  • Use the first page to practice examples with a monic factor, then move to the second page where the factors have larger leading coefficients.

  • Expand a completed factorization to check it, even when its matching letter is available.

Skills covered

  • Factoring quadratic expressions with a leading coefficient greater than one

  • Testing factor pairs and signs

  • Recognizing a perfect-square trinomial

Good to know

Questions teachers ask about this resource

Does the matching bank show the complete factorization?

No. It lists one binomial factor for each expression. Students factor the trinomial, find the matching factor in the bank and write its letter. The answer key shows both factors.

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Curriculum

Standards, concepts & topics

Standards

  • HSA-SSE.B.3

Core concepts

  • Factoring trinomials

  • Quadratic expressions

  • Binomial factors

  • Leading coefficient

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