Mastering Factoring Techniques

List all possible factors

Determine the degree of the polynomial

Set the equation to zero

Identify the type of polynomial

Greatest Coefficient Factor

General Common Factor

General Coefficient Factor

Greatest Common Factor

Commutative property

Zero product property

Associative property

Distributive property

The polynomial becomes a perfect square

The degree of the polynomial is reduced

The polynomial is simplified

Each factor is set to zero

Numbers that multiply to the last term and add to the middle term

Highest degree of the polynomial

Variables that multiply to the leading coefficient

Coefficients that sum to the middle term

To find terms that multiply to the constant term and sum to the middle coefficient

To extract the square root of each term

To divide the polynomial into monomials

To find terms that sum to the leading coefficient

Factor out the GCF

Divide all terms by the leading coefficient

Rearrange terms to set the equation to zero

Apply the quadratic formula

To simplify the equation

To set the equation to zero

To identify the GCF

To reduce the degree of the polynomial

It prepares the equation for the application of the zero product property

It simplifies the equation for basic arithmetic operations

It helps in identifying the variable terms

It is necessary for applying the quadratic formula

Factor by grouping

Rational root theorem

Synthetic division

Quadratic formula