Precalculus Examples

$f (x) = 11 x^{3} - x^{2} + 11 x - 1$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$f (x) = (11 x^{3} - x^{2}) + 11 x - 1$

Step 1.2

Factor out the greatest common factor (GCF) from each group.

$f (x) = x^{2} (11 x - 1) + 1 (11 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $11 x - 1$ .

$f (x) = (11 x - 1) (x^{2} + 1)$