Factoring Trinomials – Colour by Number Worksheet

Twelve trinomial-factoring problems drive a colour-by-number picture of an astronaut bear, where each solved answer's colour fills in a matching numbered region.
Year groups
Years 9–11
File type
PDF
Preparation
Print ready

Updated Feb 19, 2024

Subject
Maths, Algebra
Topic
Factoring, Factor
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

From the author

About this resource

Factoring Trinomials Color by Numbers is an engaging worksheet that helps students practice factoring trinomials. This PDF worksheet includes 12 practice trinomials for students to factor, with color-coded answers that allow them to color in a corresponding picture. As students solve each problem correctly, they will practice their factoring skills and reveal a hidden image. This worksheet is perfect for any middle or high school math teacher looking to introduce students to factoring trinomials with a leading coefficient of 1. Students will develop critical thinking skills as they identify the factors that add up to the coefficient of the x term and multiply to the constant term of each trinomial. This worksheet can be used for individual practice, partner work, or small groups to work together to reveal the hidden image. Students will enjoy this engaging activity while strengthening their factoring abilities.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Factor quadratic trinomials of the form x² + bx + c into two binomial factors.
  • Match a factored answer to the correct entry in an unordered answer bank, which requires solving rather than guessing from position.
  • Apply the result of a solved algebra problem to complete a visual colouring task, connecting a maths answer to a concrete output.

Teaching tips

  • Because the colour bank is not listed in problem-number order, remind students to solve algebraically rather than assume the Nth colour matches the Nth problem.
  • The picture repeats across two pages in the file — use the second copy as a backup for a student who miscolors, or skip printing it to save paper.
  • Set out coloured pencils in the exact colours listed in the key, including the repeated Yellow, Blue, and Pink entries, so students aren't stuck guessing between close shades.

Skills covered

  • Factoring
  • Algebra

Good to know

Questions teachers ask about this resource

Does the picture use a different colour for each of the 12 problems, or do some problems share a colour?

Some share a colour — the key lists Yellow, Blue, and Pink each twice, so three pairs of problems end up coloured the same.

Are the two colouring pages (2 and 3) different pictures, or exact duplicates?

Exact duplicates of the same picture and numbering.

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Resource details

Concepts & topics

Core concepts

  • Factoring trinomials
  • Quadratic expressions