# Algebra Examples

Identify the Zeros and Their Multiplicities
To find the roots/zeros of the function, set the function equal to and solve.
Factor the left side of the equation.
Factor.
Factor using the AC method.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Remove unnecessary parentheses.
Set equal to and solve for .
Set the factor equal to .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Set equal to and solve for .
Set the factor equal to .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Set equal to and solve for .
Set the factor equal to .
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Solve the equations for . The multiplicity of a root is the number of times the root appears. For example, a factor of would have a root at with multiplicity of .
(Multiplicity of )
(Multiplicity of )
(Multiplicity of )

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