Factoring by Grouping

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(1 page)
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Students have 10 polynomials to factor using the "grouping" method. Their final answers will reveal the answer to the riddle "What comes once in a minute, twice in a moment, but never in a thousand years?" This single worksheet meets the following CCSS high school math standards: SSE.A.2, SSE.B.3, and IF.C.8. Encourage students to show their work on looseleaf paper so that you may give credit for those who actually work out all 10 problems vs. using an app such as photo math or choosing to copy a peer's assignment.

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Use the structure of an expression to identify ways to rewrite it. For example, see 𝘹⁴ – 𝘺⁴ as (𝘹²)² – (𝘺²)², thus recognizing it as a difference of squares that can be factored as (𝘹² – 𝘺²)(𝘹² + 𝘺²).
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1 page
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30 minutes
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