# Algebra Examples

To find the roots/zeros of the function, set the function equal to and solve.

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 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 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 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 )