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A-SSE.2 Warmup M2-010-A05-V02

Use expression structure to identify useful rewrites, such as difference-of-squares factoring.

Factor completely using a GCF and another pattern

Problem

Factor \(2x^{2}+12x+18\) completely. Remove the GCF, test the residual trinomial with the perfect-square middle-term pattern, and verify the final product by expansion.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-SSE.2
Category
Algebra
Domain
Seeing Structure in Expressions
Objective
Use expression structure to identify useful rewrites, such as difference-of-squares factoring.
Problem type
Factor completely using a GCF and another pattern