, ,

Roots are the points where the graph intercepts with the x-axis .

at the roots

The root at was found by solving for when and .

The factor is

The root at was found by solving for when and .

The factor is

The root at was found by solving for when and .

The factor is

Combine all the factors into a single equation.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify terms.

Simplify each term.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of .

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Multiply by .

Simplify by adding terms.

Combine the opposite terms in .

Subtract from .

Add and .

Reorder the factors in the terms and .

Add and .

Add and .

Move .

Find the Equation Given the Roots 2 , 5i , -5i