Factoring Trinomials with the Bottoms Up Method

What is the first step in the 'bottoms up' method when factoring trinomials?

• Multiply the leading coefficient by the constant term.

• Divide the leading coefficient by the constant term.

• Subtract the leading coefficient from the constant term.

• Add the leading coefficient to the constant term.

In the 'bottoms up' method, after rewriting the trinomial, what is the next step?

• Multiply the factors.

• Divide the constant term by the leading coefficient.

• Apply the distributive property.

• Factor the new trinomial.

What do you do if dividing a factor by the leading coefficient results in a decimal?

• Bring the leading coefficient in front of the variable.

• Ignore the decimal and use the integer part.

• Round to the nearest whole number.

• Multiply the factor by the leading coefficient.

Which pair of factors of 5 adds up to -6?

• 5 and -1

• -5 and 1

• 5 and 1

• -5 and -1

What is the result of dividing -5 by 5 in the 'bottoms up' method?

• 1

• -5

• -1

• 0

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What are the factors of -15 that add up to 2?

• 15 and -13

• 3 and -5

• -15 and 17

• -3 and 5

After applying the 'bottoms up' method, what is the correct form of the factors for 3x^2 + 2x - 5?

• (x + 1)(3x - 5)

• (3x - 1)(x + 5)

• (x - 1)(3x + 5)

• (3x + 5)(x - 1)

What factors of -30 add up to -7?

• 30 and -37

• 10 and -3

• -10 and 3

• -30 and 23

What is the result of dividing -10 by 5 in the 'bottoms up' method?

• -2

• 2

• -5

• 0.5

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the correct form of the factors for 5x^2 - 7x - 6 after applying the 'bottoms up' method?

• (5x + 3)(x - 2)

• (x + 3)(5x - 2)

• (5x - 2)(x + 3)

• (x - 2)(5x + 3)