Synthetic Division Examples

(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.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13
• 2x³ + 4x² +3x - 1
• 2x² - 4x + 3 - 13/x-2
• 2x² + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8
• 3x² + x - 6
• 3x² - 5x - 2 + 8/x+1
• 3x³ + x² - 6x

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Let f(x) = 3x^2 - 9x +2.
Is k = -3 a zero of the function?

• yes
• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Let f(x) = 4x^2 -33x -27.  Is k = 9 a zero of the function?

• yes
• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

Tags

CCSS.HSA.APR.B.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

if f(x) = x³+8x+24, then find f(-2) using synthetic division.

• 12
• 8
• 0
• -6

Tags

CCSS.HSA.APR.B.2