Mixed factoring: choose the method

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it A checklist: (1) common factor? (2) two terms: difference of squares? (3) three terms: perfect square, simple trinomial, or a ≠ 1 decomposition? (4) four terms: grouping. Repeat until nothing more factors.

Example: Which method first for 5x² − 45?

There is a common factor 5: 5(x² − 9).
Then a difference of squares: 5(x − 3)(x + 3).

Loading questions…