Sections of this topic include:
1. Factoring; The Greatest Common Factor
We begin our study of factoring by learning the first skill, factoring out greatest common factors (known as the GCF). Groups in this section include factoring numbers into prime numbers; finding greatest common factors; determining what is left after the GCF has been factored out; factoring out the greatest common factor; factoring out the greatest common factor that contain variable powers.
2. Factoring Trinomials with Leading Coefficient of 1
A very common skill is to factor trinomials. This first section explores how to factor trinomials of leading coefficient of 1. Groups in this section include completing a partially factored trinomial; factoring a trinomail using FLIO or by Grouping; and finding a middle term.
3. Factoring Trinomials with Leading Coefficient of Not 1
A stronger skill in factoring trinomials is to factor trinomaisl with leading coefficients that are not 1. Groups in this section include factoring trinomails using FLIO; factoring polynomials by first factoring outhe GCF then using FLIO.
4. Special Factors; Factoring by Grouping
Many times, patterns appear in factoring that require using factoring formulas. This group includes factoring difference of two squares and perfect square trinomials; factor by grouping; factoring the sum or difference of two cubes; factoring harder difference of two squares.
5. A Summary of Factoring
With a strong foundation of factoring techniques now, we explore random problems of factoring. This section includes the group a summary of factoring.
6. Solving Factorable Quadratic Equations
One application of factoring is solving quadratic equations using factoring and the zero product property. Groups in this section include solving factored equations; and solving equations by factoring.
7. More Applications
In this section, we explore how to apply factoring and solving equations using factoring to real world scenarios.
