# Shared Factors – A Quadratics Puzzle

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I shared this shared factors puzzle on twitter recently, but I thought I should share it on my blog as well.

## Shared Factors Puzzle

Each side of the square shares a factor with each of its neighboring sides. Determine the missing values that make this statement true.

This would be a great task for including in a polynomials or quadratics unit. I look forward to seeing how others incorporate it into their classrooms.

John Golden brilliantly suggested that this problem could be reframed using an area model. I love the box method for polynomials, so I found this approach to be really satisfying.

If you like this approach, check out John Golden’s Geogebra adaptation.

## Puzzle Solutions

I intentionally do not make answers to the printable math puzzles I share on my blog available online because I strive to provide learning experiences for my students that are non-google-able. I would like other teachers to be able to use these puzzles in their classrooms as well without the solutions being easily found on the Internet.

However, I do recognize that us teachers are busy people and sometimes need to quickly reference an answer key to see if a student has solved a puzzle correctly or to see if they have interpreted the instructions properly.

If you are a teacher who is using these puzzles in your classroom, please send me an email at sarah@mathequalslove.net with information about what you teach and where you teach. I will be happy to forward an answer key to you.