How Do You Factor a 4-Term Polynomial by Grouping?

How Do You Factor a 4-Term Polynomial by Grouping?

Note:

Factoring by grouping is one way to factor a polynomial. This tutorial shows you how to take a polynomial and factor it into the product of two binomials. Then, check your answer by FOILing the binomials back together!

Keywords:

problem

expression

polynomial

factor

grouping

factor by grouping

Background Tutorials

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

Factoring out the greatest common factor of a polynomial can be an important part of simplifying an expression. In this tutorial, you get step-by-step instructions on how to identify and factor out the greatest common factor.

Looking for practice using the FOIL method? This tutorial delivers! It takes you step-by-step through the FOIL method as you multiply together to binomials.

Further Exploration

Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored right before your eyes! Then, check your answer by using the FOIL method to multiply the binomials back together and see if you get the original trinomial.