Factor Quadratic Box Method

To find what goes in these two boxes, we need to find the factors of ____

• 1

• 7

• 10

Since 2 and 5 are factors of 10 and 2+5=7, then x²+7x+10 = (x + __) (x+ __)

• 1 and 10

• 2 and 5

• 7 and 10

What is the first step to solving our quadratic ?

• Subtract 10 to both sides

• Divide by 7

• Factor

What goes in this box ?

• 7x

• x²

• 10

Is this Box Method correct, for factoring 2x² + 10x + 12 ?

• Yes

• No

• Impossible to tell

Is this Box Method correct, to factor

x² + 5x + 6

?

• Yes

• No

Use the Box Method to factor:

x² - 8x + 15

• (x + 5)( x + 3)

• (x - 5)(x - 3)

• (x + 15)(x - 1)

• (x - 7)(x - 8)

Use the Box Method to factor:

n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Using Jerry's method, the problem is now

2(x² + 5x + 6), so Jerry has to factor

x² + 5x + 6.

• True

• False

Jerry's Method for factoring gives 2(x + 3)(x + 2). What are the solutions?

• -3 and -2

• 3 and 2

• 6 and 2

• -6 and -2