Mastering Factoring Quadratic and Cubic Expressions

This video tutorial teaches how to factor algebraic expressions by grouping. It begins with an introduction to the concept and provides three detailed examples, each increasing in complexity. The instructor explains the process of splitting expressions into groups and factoring each group individually. The video concludes with a summary and additional resources for further learning.

What is the first step in factoring by grouping?

• Divide the expression by the highest common factor

• Combine all terms into one group

• Split the expression into two groups

• Factor out the largest common term from all terms

What is the greatest common factor that can be factored out from y squared plus 4y?

• 4

• y

• 4y

• y squared

What is left inside the parentheses after factoring out y from y squared plus 4y?

• y squared plus 4

• y plus 4

• 4y

• y squared

What is the greatest common factor that can be factored out from 7y plus 28?

• 4

• y

• 7

• 28

What should be the same in both sets of parentheses after factoring by grouping?

• The exponents

• The variables

• The terms inside the parentheses

• The coefficients

What is the greatest common factor that can be factored out from xy cubed plus 3y squared?

• 3

• x

• y squared

• xy

What is left inside the parentheses after factoring out y squared from xy cubed plus 3y squared?

• xy cubed plus 3

• xy plus 3

• x plus 3

• y cubed plus 3

What is the greatest common factor that can be factored out from negative 2xy minus 6?

• 6

• xy

• 2

• negative 2

What is the greatest common factor that can be factored out from 10x squared plus 2xy?

• 10

• 2x

• x squared

• 2xy

What is left inside the parentheses after factoring out 2x from 10x squared plus 2xy?

• 5 plus xy

• 10 plus xy

• 5x plus y

• x squared plus y