Factoring by Grouping: Step-by-Step Techniques

This video tutorial explains the method of factoring by grouping, a technique used when no other factoring method is applicable. The instructor demonstrates the process using a polynomial with four terms, showing how to separate terms into groups, identify common factors, and factor each group. The video concludes with the final steps to complete the factoring process and offers additional resources for further learning.

What is the primary method used when no other factoring method is possible?

• Factoring by substitution

• Factoring by expansion

• Factoring by elimination

• Factoring by grouping

How many terms must an expression have to consider factoring by grouping?

• Five

• Two

• Four

• Three

What is the first step in factoring by grouping?

• Combining like terms

• Multiplying the terms

• Simplifying the expression

• Separating the terms into groups

What do the terms 2x^3 and -5x^2 have in common?

• A common factor of 2

• A common factor of x

• A common factor of x^2

• No common factor

What common factor is pulled out from the terms -6x and 15?

• 5

• -3

• 3

• 2

What should be the same in both groups to ensure correct factoring by grouping?

• The variables

• The exponents

• The coefficients

• The parentheses

What do you do if the parentheses are not the same after grouping?

• Divide the terms

• Multiply the terms

• Check for mistakes or conclude it's not factorable

• Combine the terms again

What is the final step in factoring by grouping?

• Adding the terms

• Multiplying the terms

• Pulling out the common parentheses

• Simplifying the expression

What is left over after pulling out the common parentheses in the final step?

• The simplified expression

• The terms in front of the parentheses

• The common factors

• The original terms

Where can you find additional help and resources for factoring by grouping?

• mathhelp.com

• mathresources.com

• mathmeeting.com

• algebra.com