Practice with Factor Theorem

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

Divide Using Synthetic Division:

(4x² - 24x + 35) / (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

Tags

CCSS.HSA.APR.B.2

Divide (x³ +x² -16x-16) by (x - 4). What is the quotient?

• x² + 2x - 5

• x² - 3x - 5

• x² + 5x + 4

• x² - 3x - 4

Divide (x³ +x² -16x-16) by (x - 4). What is the remainder?

• 0

• -16

• -32

• 3

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Divide (3x³ - 10x² -2x -12) by (x - 3). What is the quotient?

• 3x³ - x² -5x - 27

• 3x² - x - 5

• 3x² - 19x + 55

• 3x² + x + 5

State the remainder when (3x³ -10x² -2x -12) is divided by (x - 3)

• 0

• -27

• 3

• -12

Decide if (x-3) is a factor of 3x³ -10x² -2x -12

• Yes, it is a factor!

• No, it is not a factor!

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

Tags

CCSS.HSA.APR.B.2