Synthetic Division

(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

(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

x³-3x²-10x+24 ÷ x+3

• x²-7x+5
• x-8
• x²-6x+8
• x+9

Tags

CCSS.HSA.APR.D.6

x²-6x+8 ÷ x-2

• x-6
• x-9 R=2
• x-4
• x-8 R=3

Tags

CCSS.HSA.APR.D.6

For synthetic division, what would be the number in the left hand box?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.APR.D.6

(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

Use synthetic division

• x - 7

• x² - 7

• x + 7

• x² + 3x - 54

Tags

CCSS.HSA.APR.D.6

• 2x² + 2x - 4  R(-12)

• 2x² - 2x + 6  R(-23)

• 2x² - 2x + 8  R(-20)

• 2x² - 4x + 1  R0

Tags

CCSS.HSA.APR.D.6

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

• 0

• -3

• 9

• 5

Answer explanation

Two ways to solve:

Synthetic division using x = 2

OR

Remainder Theorem: (recommended) Evaluate for x=2 to find the remainder!

Tags

CCSS.HSA.APR.B.2

• x - 7
• x² - 7
• x + 7
• x² + 3x - 54

Tags

CCSS.HSA.APR.D.6