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# Trigonometry Examples

For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

Factor the polynomial by factoring out the greatest common factor, .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply both sides of the equation by .

Remove parentheses.

Multiply by .

Add to both sides of the equation.

Add and .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .