Factoring Trinomials Using the Bottoms Up Method

This video tutorial explains how to factor a trinomial using the bottoms up method when the leading coefficient is not one. It guides viewers through identifying coefficients a, b, and c, multiplying a and c, and finding two numbers that multiply to the product and add to b. The tutorial then demonstrates writing the trinomial in factored form and applying the bottoms up method to simplify the expression.

What is the first step in factoring a trinomial using the Bottoms Up method?

• Simplify the trinomial

• Divide the coefficients

• Identify the coefficients

• Multiply the coefficients

If the leading coefficient (a) is 2 and the constant term (c) is -3, what is the product of a and c?

• -5

• 6

• -6

• 5

Tags

CCSS.HSA-REI.B.4B

Which two numbers multiply to -6 and add up to 5?

• 3 and -2

• 6 and -1

• 2 and -3

• 1 and -6

How do you write the trinomial in factored form after finding the two numbers?

• (x - 3)(x + 2)

• (x + 3)(x - 2)

• (x - 6)(x + 1)

• (x + 6)(x - 1)

What do you do if the leading coefficient is not 1 after writing the trinomial in factored form?

• Add the leading coefficient to each factor

• Divide each factor by the leading coefficient

• Multiply the factors

• Subtract the leading coefficient from each factor