,

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 terms.

Combine the opposite terms in .

Reorder the factors in the terms and .

Add and .

Add and .

Simplify each term.

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 .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

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 .

Find the Equation Given the Roots -2i , 5