Factoring Quick Check

Factor
x² - 2x - 35

• (x - 7)(x + 5)

• (x - 10)(x + 1)

• (x - 8)(x - 5)

• (x + 4)(x + 7)

Factor
n² - 10n + 21

• (n + 7)(n - 3)

• (n - 7)(n - 10)

• (n - 7)(n - 3)

• (n - 7)(n + 3)

Factor
4x² - 52x + 160

• (x - 8)(x - 5)

• 4(x - 8)(x - 5)

• 4(x - 5)(x - 1)

• (x + 8)(x + 5)

Factor
7x² - 17x + 10

• 7(x - 10)(x + 1)

• (7x + 10)(x - 1)

• (7x - 10)(x - 1)

• (5x + 2)(x - 7)

Factor
x² - 16

• (3x + 5)(3x - 5)

• (x + 4)(x - 4)

• (x - 4)²

• (x + 8)²

Tags

CCSS.HSA.APR.C.4

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor by grouping:

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Which of the following is an example of a difference of squares?

• I only

• II only

• III only

• II and III

• Both expressions will include subtraction.

• The sum of the values in the blanks should be 1.

• The product of the values in the blanks should be 56.

• The values in the blanks will be the same number but opposite signs.