Factoring Quadratic Expressions

The video tutorial demonstrates how to factor the quadratic expression 5x^2 - 18x + 9 using the diamond box method. The instructor begins by multiplying the constants and setting up the diamond box. The goal is to find two numbers that multiply to 45 and add to 18. After listing potential factors, the instructor identifies the correct pair and fills in the box with the appropriate terms. Finally, the instructor determines the factored form of the expression as (5x - 3)(x - 3).

What is the quadratic expression that needs to be factored in this problem?

• 3x^2 - 12x + 7

• 4x^2 - 16x + 8

• 5x^2 - 18x + 9

• 2x^2 - 8x + 5

Which method is used to factor the quadratic expression in this problem?

• Diamond Box Method

• Completing the Square

• FOIL Method

• Quadratic Formula

What is the product of the constant terms in the expression?

• 45

• 5

• 18

• 9

What is the goal when using the diamond box method?

• To find two numbers that add to the constant term

• To find two numbers that multiply to the product and add to the middle term

• To find two numbers that add to the middle term

• To find two numbers that multiply to the constant term

Which pair of numbers multiply to 45 and add to 18?

• 10 and 8

• 6 and 7

• 3 and 15

• 9 and 5

What are the two numbers used to break down the middle term?

• -3 and -15

• 3 and 5

• -3 and -5

• 3 and -15

What are the new terms formed after breaking down the middle term?

• -3x and 15x

• 3x and 5x

• 3x and -15x

• -3x and -5x

What is the first term placed in the box?

• -5x

• 5x^2

• 9

• -3x

What is the last term placed in the box?

• -5x

• -3x

• 9

• 5x^2

What is the factor that multiplies with X to give -3x?

• -5

• -3

• 5

• 3