Factoring Trinomials Using the Bottoms Up Method

This video tutorial introduces the Bottoms Up method for factoring trinomials, especially when the coefficient of the squared term is greater than one. The method is presented as an alternative to the guess-and-check approach, offering a systematic way to achieve the factored form. The tutorial includes multiple examples, demonstrating the step-by-step process of the method, including handling common factors. The video concludes with a summary of the method's steps and its advantages over traditional methods.

What is another name for the Bottoms Up method?

• The AB method

• The AC method

• The BC method

• The CD method

What is the first step in the Bottoms Up method?

• Look for common factors to pull out

• Simplify the fractions

• Multiply the coefficients of the squared term and the constant term

• Divide each term by the coefficient of the squared term

In the example where a = 2 and c = 2, what is the product of a and c?

• 2

• 8

• 4

• 6

What do you do after finding the factors of the product of a and c?

• Divide each factor by a

• Subtract each factor from b

• Multiply each factor by b

• Add each factor to c

In the second example, what common factor is pulled out from 15, 27, and 6?

• 6

• 5

• 3

• 2

What is the product of a and c in the second example where a = 5 and c = -2?

• 10

• 5

• -10

• -5

In the third example, what are the factors of -100 that combine to give -15?

• -25 and 10

• 10 and -10

• -20 and 5

• 15 and -5

What is the simplified form of the fraction 9/6?

• 3/1

• 1/2

• 2/3

• 3/2

What is the final step in the Bottoms Up method?

• Subtract the simplified fractions

• Add the simplified fractions

• Read the fractions from the bottom up

• Multiply the simplified fractions

What is the main advantage of the Bottoms Up method over the guess and check method?

• It is faster

• It is more accurate

• It uses fewer steps

• It requires less multiplication