In this lecture You will learn how to Factor Using the GCF. First, you will cover the distributive property with examples of a binomial and a trinomial. Then you will move into factoring by grouping as well as utilizing the zero product property. Four examples at the end test your new found knowledge.
You can use the
distributive property to factor the greatest common factor out of
each polynomial in a sum or difference of polynomials.
For a polynomial
with 4 terms, factor a GCF out of the first two terms and then
factor the GCF out of the second two terms. Then factor the common
binomial factor. This is called factoring by grouping.
factoring by grouping, you must use the fact that one binomial
factor is the additive inverse of another one. Factoring 1 out
of one of these binomials produces two identical binomial factors
and enables you to complete the factoring by grouping.
Product Property states that if a product of two factors is 0,
then one or both of the factors must be equal to 0. This property
allows you to solve equations in which a factored polynomial is
equal to 0.
The solutions of
an equation are also called the roots of the equation.
Factoring Using Greatest Common Factor
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.