Algebra Examples

x^{3} + 2 x^{2} - 5 x - 10

$x^{3} + 2 x^{2} - 5 x - 10$

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} + 2 x^{2}) - 5 x - 10

$(x^{3} + 2 x^{2}) - 5 x - 10$

Step 1.2

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

x^{2} (x + 2) - 5 (x + 2)

$x^{2} (x + 2) - 5 (x + 2)$

x^{2} (x + 2) - 5 (x + 2)

$x^{2} (x + 2) - 5 (x + 2)$

Step 2

Factor the polynomial by factoring out the greatest common factor,

x + 2

$x + 2$ .

(x + 2) (x^{2} - 5)

$(x + 2) (x^{2} - 5)$