Algebra Examples

$x^{3} - x^{2} + x - 1$

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.

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

Step 1.2

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor,

$x - 1$ .

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

$x^{3} - x^{2} + x - 1$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$