Factor Polynomials (Order 3) - By Grouping, Order 2 Factors to Order 1 Factors, Coefficient 1 (True/False)

Level 1

This math topic focuses on factoring cubic polynomials by grouping and further breaking down quadratic factors into linear factors. Specifically, it includes practice on determining the correctness of factoring steps in polynomial expressions (primarily true/false format). Each problem presents an expression with a cubic polynomial, factored into a linear and a quadratic term, and asks if further factorization into linear terms is conducted correctly. This theme is a subset of an introductory unit on higher-order polynomial factoring.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factor Polynomials (Order 3) - By Grouping, Order 2 Factors to Order 1 Factors, Coefficient 1 (True/False)


Is this factoring step correct?

(t−3)(t2−4)=(t−3)(t−2)(t+2)(t - 3)(t^2 - 4)\\=(t - 3)(t - 2)(t + 2)

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