Trigonometry Examples

$10 p^{2} - 12 p + 25 p - 30$

Step 1

Reorder terms.

$10 p^{2} + 25 p - 12 p - 30$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(10 p^{2} + 25 p) - 12 p - 30$

Step 2.2

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

$5 p (2 p + 5) - 6 (2 p + 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 p + 5$ .

$(2 p + 5) (5 p - 6)$