Date: November 14, 2014

Graded Assignment

Checkup: Dividing Polynomials

Answer the following questions using what you've learned from this lesson. Write your responses in the space provided, and turn the assignment in to your instructor.

Use long division to find the quotient and remainder:

1.

2x + 14 x + 2) 2x^2 + 10x + 11 - (2x^2 – 4x) 14x + 11 - (14x – 28) 39

f(x) = 2x + 14 + 39 x - 2

2.

5x + 25 x – 5) 5x^2 + 0x + 3 - (5x^2 – 25x) 25x + 3 - (25x – 125) 128

f(x) = 5x + 25 + 128 x - 5

3.

4x2 – x - 2

4x – 3)16x^3 – 16x^2 -5x + 6 (16x^3 – 12x^2) -4x^2 – 5x - (4x^2 + 3x) -8x + 6 - (-8x + 6) 0

f(x) = 4x2 – x – 2

4.

6 x + 1) 6x + 5 - (6x + 6) - 1

f(x) = 6 + -1 x + 1

5. 4

2x – 1) 8x – 9 - (8x – 4) - 5

f(x) = 4 + -5 2x - 1

Use synthetic division to find the quotient and remainder. Express your answer as a polynomial.

6.

3 2 -11 13 -21

6 -15 6

2 -5 2 -15

f(x) = 2x^2 – 5x + 2 - 15 x - 3

7.

-2 3 7 -13 10

-6 -2 30

3 1 -15 40

f(x) = 3x^2 + x – 15 + 40 x + 2

8.

1 2 13 -21 9

2 15 -6

2 15 -6 3

f(x) = 2x^2 + 15x – 6 + 3 x - 1

9.

2 7 0 -8 16

14 28 40

7 14 20 56

f(x) = 7x^2 + 14x + 20 + 56

10.

4 8 -14 -71 -10 24

36 88 68 232

8 22 17 58 256

f(x) = 8x^4 + 22x^3 + 17x^2 + 58x + 256

Use synthetic division to evaluate the function at the indicated values:

11. ; and

1 4 0 -17 9

4 4…