# Precalculus Examples

, ,

Step 1

Since the roots of an equation are the points where the solution is , set each root as a factor of the equation that equals .

Step 2

Step 2.1

Simplify by multiplying through.

Step 2.1.1

Apply the distributive property.

Step 2.1.2

Simplify the expression.

Step 2.1.2.1

Multiply by .

Step 2.1.2.2

Multiply by .

Step 2.2

Expand using the FOIL Method.

Step 2.2.1

Apply the distributive property.

Step 2.2.2

Apply the distributive property.

Step 2.2.3

Apply the distributive property.

Step 2.3

Simplify and combine like terms.

Step 2.3.1

Simplify each term.

Step 2.3.1.1

Multiply by by adding the exponents.

Step 2.3.1.1.1

Multiply by .

Step 2.3.1.1.1.1

Raise to the power of .

Step 2.3.1.1.1.2

Use the power rule to combine exponents.

Step 2.3.1.1.2

Add and .

Step 2.3.1.2

Move to the left of .

Step 2.3.1.3

Rewrite as .

Step 2.3.1.4

Multiply by .

Step 2.3.1.5

Move to the left of .

Step 2.3.1.6

Rewrite as .

Step 2.3.2

Add and .

Step 2.3.3

Add and .