Find the Equation Given the Roots 2 , 5i

Math
,
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.
Multiply all the factors to simplify the equation .
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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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.
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Simplify each term.
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Multiply by by adding the exponents.
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Multiply by .
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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.
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Move .
Multiply by .
Multiply .
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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.
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Move .
Multiply by .
Multiply by .
Multiply .
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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.
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Combine the opposite terms in .
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Subtract from .
Add and .
Reorder the factors in the terms and .
Add and .
Add and .
Move .
Find the Equation Given the Roots 2 , 5i

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