Factor fully: common factor first

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Learn it Always look for a common factor first. Then check what is left: a difference of squares, a perfect square, or a trinomial. An expression is factored fully when no bracket can be factored again.

Example: Factor 3x² − 12x − 36 fully.

Common factor 3: 3(x² − 4x − 12).
x² − 4x − 12: numbers −6 and 2.
3(x − 6)(x + 2).

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