Factoring Quadratic Trinomials using the Box Method

The video tutorial teaches how to factor quadratic trinomials using the Box Method. It provides three examples: 3x^2 + 10x - 8, 6x^2 - 11x + 3, and 4x^2 + 4x - 15. Each example is broken down into steps, including writing the trinomial in standard form, drawing a box with compartments, finding numbers that satisfy specific conditions, and determining the greatest common factors. The tutorial also offers alternative methods for each example, ensuring a comprehensive understanding of the Box Method for factoring.

What is the first step in factoring a quadratic trinomial using the Box Method?

• Find two numbers that give a product of ac and a sum of b

• Draw a box with four compartments

• Write the quadratic trinomial in the form of ax^2 + bx + c

• Multiply the coefficient of x^2 by the constant term

In Example 1, what are the two numbers that give a product of -24 and a sum of 10?

• 12 and -2

• 10 and -4

• -3 and 8

• 3 and -8

What is the greatest common factor (GCF) of 3x^2 and 12x in Example 1?

• 3x

• x

• 4x

• 12x

Tags

CCSS.HSA.APR.D.6

In the alternative method for Example 1, where is 12x written?

• First compartment

• Second compartment

• Third compartment

• Fourth compartment

In Example 2, what is the product of the coefficient of x^2 and the constant term?

• 18

• 3

• 11

• 6

Tags

CCSS.HSA-REI.B.4B

Which pair of numbers gives a product of 18 and a sum of -11 in Example 2?

• -9 and -2

• 3 and 6

• 9 and 2

• -3 and -6

What is the GCF of 6x^2 and -9x in Example 2?

• 6x

• x

• 2x

• 3x

In Example 3, what is the product of the coefficient of x^2 and the constant term?

• -60

• -15

• 60

• 15

Tags

CCSS.HSA-REI.B.4B

Which pair of numbers gives a product of -60 and a sum of 4 in Example 3?

• -10 and 6

• -6 and 10

• 6 and -10

• 10 and -6

What is the GCF of 4x^2 and 10x in Example 3?

• 10x

• 4x

• 2x

• x