Algebra Examples

$4 x^{3} - x^{2} + 16 x - 4$

Step 1

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(4 x^{3} - x^{2}) + 16 x - 4$

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

$x^{2} (4 x - 1) + 4 (4 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 x - 1$ .

$(4 x - 1) (x^{2} + 4)$