Factoring Trinomials and Common Factors

This video tutorial from Moomoomath and Science introduces the x method for factoring trinomials. The instructor explains the process of multiplying a and c, placing b at the bottom, and finding factors that multiply to a times c and add to b. The video includes two examples: the first demonstrates basic factoring using the x method, while the second covers more advanced techniques involving negative numbers. The tutorial emphasizes the importance of grouping and finding the greatest common factor, providing a clear and structured approach to factoring trinomials.

What is the first step in the X method for factoring trinomials?

• Multiply a and b

• Multiply a and c

• Add a and c

• Subtract a from c

In the X method, where do you place the value of b?

• At the top

• In the middle

• At the bottom

• On the left

What two numbers multiply to 24 and add to 10 in the first example?

• 5 and 5

• 6 and 4

• 2 and 12

• 3 and 8

What is the greatest common factor in the first grouping example?

• 5x

• 4x

• 2x

• 3x

What is the result of factoring out the greatest common factor in the first example?

• x + 5

• x + 2

• x + 4

• x + 3

In the second example, what two numbers multiply to 10 and add to -11?

• 1 and 10

• -1 and -10

• 2 and 5

• -2 and -5

What is the greatest common factor in the second grouping example?

• 3x

• 4x

• 6x

• 5x

What happens to the signs when you factor out a negative number?

• They stay the same

• They reverse

• They double

• They halve

What is the common binomial factor in the second example?

• x + 2

• x + 1

• x - 1

• x - 2

What is the final factored form in the second example?

• 5x + 2

• 5x - 1

• 5x - 2

• 5x + 1