Examples
Step 1
Set equal to .
Step 2
Step 2.1
Factor using the AC method.
Step 2.1.1
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 .
Step 2.1.2
Write the factored form using these integers.
Step 2.2
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.3
Set equal to and solve for .
Step 2.3.1
Set equal to .
Step 2.3.2
Add to both sides of the equation.
Step 2.4
Set equal to and solve for .
Step 2.4.1
Set equal to .
Step 2.4.2
Subtract from both sides of the equation.
Step 2.5
The final solution is all the values that make true. The multiplicity of a root is the number of times the root appears.
(Multiplicity of )
(Multiplicity of )
(Multiplicity of )
(Multiplicity of )
Step 3