Factoring Trinomials with the Box Method

What is the first step in the box method of factoring?

• Add a and c

• Multiply a and c

• Find the GCF

• Split the middle term

What is the product of a and c in the given trinomial?

• 12

• -12

• 24

• -24

Which two numbers multiply to -24 and add to -2?

• -6 and 4

• -8 and 3

• 6 and -4

• 12 and -2

What is the purpose of finding two numbers that multiply to ac and add to b?

• To determine the last term

• To find the GCF

• To calculate the first term

• To split the middle term

How do you split the middle term using the box method?

• Into -6x and 4x

• Into 8x and -3x

• Into -8x and 3x

• Into 6x and -4x

What goes in the upper left-hand corner of the box?

• The first term

• The last term

• The GCF

• The middle term

What is the greatest common factor of the first row?

• 4

• 3x

• -2

• x

What are the final factors of the trinomial?

• x - 4 and 3x + 2

• x + 4 and 3x - 2

• 3x - 4 and x + 2

• 3x + 4 and x - 2

How do you verify the factors found are correct?

• Multiply them

• Add them

• Subtract them

• Divide them