Factoring Quadratics with Slide, Divide, and Bottoms Up

The video introduces a method called 'slide divide and bottoms up' for factoring trinomials, which is an alternative to grouping. The method is demonstrated with two examples: 3x^2 - 17x + 10 and 9x^2 - 3x - 12. The process involves checking for a GCF, sliding the 'a' value, finding two numbers that multiply and add to specific values, dividing, and finally applying the bottoms-up technique. This method is presented as a quicker and simpler alternative to traditional grouping.

What is the first step in the Slide, Divide, and Bottoms Up method?

• Check for a GCF

• Divide by the number slid

• Slide the a value

• Bottoms Up

In the example 3x^2 - 17x + 10, what do you get after sliding the a value to the constant term?

• 3x^2 - 17x + 30

• 3x^2 - 17x + 10

• x^2 - 17x + 30

• x^2 - 17x + 10

Which two numbers multiply to 30 and add to -17 in the example 3x^2 - 17x + 10?

• 2 and 15

• -3 and -10

• 3 and 10

• -2 and -15

What is the next step after forming the linear binomials in the Slide, Divide, and Bottoms Up method?

• Check for a GCF

• Slide the a value

• Bottoms Up

• Divide by the number slid

What is the simplified form of 15/3 in the example 3x^2 - 17x + 10?

• -3

• 5

• -5

• 3

What does 'Bottoms Up' mean in the Slide, Divide, and Bottoms Up method?

• Multiply the a value

• Bring the denominator up in front of the variable

• Divide by the number slid

• Check for a GCF

What is the GCF of 9x^2 - 3x - 12?

• 12

• 9

• 3

• 1

After factoring out the GCF, what is the new trinomial in the example 9x^2 - 3x - 12?

• 3x^2 - 3x - 4

• 9x^2 - 3x - 4

• x^2 - x - 4

• 3x^2 - x - 4

Which two numbers multiply to -12 and add to -1 in the example 3x^2 - x - 4?

• 3 and 4

• -3 and -4

• 3 and -4

• -3 and 4

What is the final factored form of 9x^2 - 3x - 12 using the Slide, Divide, and Bottoms Up method?

• 3(x - 1)(x + 4)

• 3(x + 1)(3x - 4)

• 3(x + 1)(x - 4)

• 3(x - 1)(3x + 4)