Dividing Polynomials!

Divide:

(4x² - 24x + 35) / (2x - 5)

• 2x - 7

• 2x - 12

• 2x + 12

• 2x + 7

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

• x⁴
• x³
• x²
• x

Which would be better to use here?

• Long division
• Synthetic division

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

• 0
• 1
• 2
• 3

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 - 12/(x + 3)

• 2x² - 2x + 6 - 23/(x + 3)

• 2x² - 2x + 8 - 20/(x + 3)

• 2x² - 4x + 1

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)

Divide (4x³ - 2x² - 3) by (2x² - 1).

• 2x - 1 + (2x - 4)/(2x² - 1)

• 2x + 3 + (x - 3)/(2x² - 1)

• 2x - 1

• 2x + 3 + (3x-5)/(2x² - 1)

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

• Yes, it is a factor

• No, it is not a factor

(2x³ + 13x² + 31x + 35)/(2x + 7)

• x² - 3x + 5

• x² + 3x + 5

• x² - 3x - 5

• x² + 3x - 5