Factoring Trinomials with Diamond and XBox Methods

This video tutorial demonstrates how to factor a trinomial where the 'a' value is not one, using the diamond and Xbox methods. The instructor explains the setup of the diamond method, finding the product of 'A' and 'C' values, and identifying the 'B' value. The video then guides viewers through finding two factors with a specific product and sum, and using these factors in the Xbox method. The tutorial concludes by completing the factoring process and writing the trinomial in its factored form.

What is the value of 'a' in the trinomial discussed?

• 3

• 1

• 10

• 9

What is the product of 'a' and 'c' in the diamond method?

• 30

• 9

• 3

• 10

What two numbers have a product of 9 and a sum of 10?

• 2 and 7

• 1 and 9

• 4 and 5

• 3 and 6

In the X-Box method, what term is written in the upper left corner?

• 3x

• 3x^2

• x

• 9x

What is the term written in the lower right corner in the X-Box method?

• 3

• x

• 9x

• 1

What common factor is identified in the first row of the X-Box?

• 3x

• x

• 3

• 9

What does 3x multiply with to give 9x?

• x

• 9

• 1

• 3

What does 3 multiply with to give 3?

• x

• 9

• 3

• 1

What is the binomial formed from the top row of the X-Box?

• 3x + 1

• x + 1

• 3x + 3

• x + 3

What is the factored form of the trinomial?

• (x + 3)(3x + 1)

• (x + 1)(3x + 3)

• (3x + 3)(x + 1)

• (3x + 1)(x + 3)