Trigonometry Examples

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

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.

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

Step 1.2

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $r - 5$ .

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