Synthetic Division

1. If a sixth-degree polynomial is divided by a second-degree polynomial, what is the degree of the quotient?

• 1

• 2

• 3

• 4

2. Find the remainder when x³ – 2x² + 4x – 3 is divided by x + 2.

• 27

• 5

• -5

• -27

3. If x³ – 2x² – 5x + 6 divided by x + 1, the remainder is zero.

• True

• False

• Cannot be determined

• Maybe

For numbers 4 – 6, divide (2x³ + 3x² – 10x + 12) by (x – 3).

 4. What is the remainder?

• 17

• 63

• x - 3

• 17x - 51

5. What is the divisor?

• 2x² + 9x + 17

• x - 3

• 2x³ + 3x² -10x + 12

• 63

6. What is the quotient?

• x - 3

• 2x³ + 3x² -10x + 12

• 63

• 2x² + 9x + 17

7. Which polynomial is the dividend?

• x³ – 6x² + 2x + 21

• x⁴ – 6x³ + 2x² + 21x

• x³ – 3x² – 7x

• x² – 3x – 7

8. Which polynomial is the quotient?

• x³ – 3x² – 7x

• x⁴ – 6x³ + 2x² + 21

•   x³ – 6x² + 2x + 21

• x² – 3x – 7

9. Find the quotient when (x³ + 2x² – 19x – 20) is divided by (x + 5).

• x² + 3x + 4

• x² – 3x + 4

• x² + 3x – 4

• x² – 3x – 4

   

10. What is the quotient when (2x³ + 9x² – 2x – 3) is divided by (2x + 1)?

• x² + 4x – 3

• x² – 4x + 1

• 2x² + 8x – 6

• 2x² – 8x -6