# How do you factor by grouping #x^3 – 4x^2 +x + 6#?

##### 1 Answer

May 17, 2015

Try x = -1 -> f(x) = -1 - 4 - 1 + 6 = 0, then one factor is (x + 1)

Next, divide algebraically or guess.

The trinomial in parentheses can be factored to (x - 3)(x - 2).

Finally: f(x) = (x + 1)(x - 2)(x - 3).

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