Find the Quadratic Equation 5 , -19/4

Math
,
and are the two real distinct solutions for the quadratic equation, which means that and are the factors of the quadratic equation.
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Combine and .
Move to the left of .
Multiply .
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Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Multiply by .
Subtract from .
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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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, .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Multiply by .
Add and .
Split the fraction into two fractions.
Split the fraction into two fractions.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Move the negative in front of the fraction.
The standard quadratic equation using the given set of solutions is .
Find the Quadratic Equation 5 , -19/4

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