Factoring Polynomials by Grouping

This tutorial explains how to factor polynomials using the method of factoring by grouping. It covers when to use this method, provides a step-by-step guide on how to apply it, and includes a practice example to reinforce learning. The tutorial emphasizes identifying the greatest common factor and rearranging terms to simplify the polynomial into a product of factors.

When is it appropriate to use factoring by grouping?

• When you have a trinomial

• When you have a single term

• When you have a binomial

• When you have more than three terms

What is the first step in factoring by grouping?

• Simplify the expression

• Combine like terms

• Divide the polynomial into two parts

• Multiply the terms

What should you keep in mind when dividing the polynomial into two parts?

• Keep the sign on the left side

• Keep the sign on the right side

• Ignore the signs

• Change all signs to positive

Tags

CCSS.HSA.APR.D.6

What is the next step after dividing the polynomial into two parts?

• Simplify the expression

• Factor out the greatest common factor from each part

• Add the terms

• Multiply the terms

How do you determine the greatest common factor for the numbers in a polynomial?

• Find the smallest number

• Find the largest number

• Find the highest number that divides all terms

• Find the lowest number that divides all terms

What is the greatest common factor for the variable part in the example given?

• 7

• 3

• n

• m

What do you do after factoring out the greatest common factor from each part?

• Combine the terms

• Factor out the common binomial factor

• Multiply the terms

• Simplify the expression

Tags

CCSS.7.EE.A.1

In the example, what is the common binomial factor that is factored out?

• m + 3

• 3m^2 + 7

• m^2 + 7

• m + 7

Tags

CCSS.7.EE.A.1

In the practice example, what is the greatest common factor on the left side?

• 2

• 5

• y

• x

What is the final step in the practice example?

• Multiply the terms

• Simplify the expression

• Factor out the common binomial factor

• Combine the terms

Tags

CCSS.7.EE.A.1