# Precalculus Examples

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

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.

Set the factor equal to .

Add to both sides of the equation.

Set the factor equal to .

Subtract from both sides of the equation.

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 )