Download Section 4.7: Solving Polynomial Equations

Algebra 2
Section 4.7: Solving Polynomial Equations
Polynomial Equation:
An equation that is equivalent to one with a
polynomial as one side and zero as the other.
Solution:
aka → Root
or
Zero
To find the root use the Zero-Product Property
1) Set the equation equal to zero
2) Factor the polynomial completely
3) Set each factor equal to zero and solve for
the unknown
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Algebra 2
Section 4.7: Solving Polynomial Equations
Example: Solve the following polynomial equations.
#1)
x2 = 4x + 12
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Algebra 2
Section 4.7: Solving Polynomial Equations
Example:
#2)
x(2x + 6) = 0
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Algebra 2
Section 4.7: Solving Polynomial Equations
Example:
#3)
x2 + 25 = 10x
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Algebra 2
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