# The remainder and factor theorems Quiz polynomial functions algebra homework help

The remainder and factor theorems Quiz polynomial functions algebra homework help

**1)How many possible positive zeros does the function below have?**

f(x) = 3x^{3} Â- 2x^{2} + 4x + 1

A. 0

B. 0 or 2

C. 1 or 3

D. 0, 1, 2, or 3

**2) How many possible negative zeros does the function below have?**

f(x) = 4x^{3} – 6x^{2} + 8x – 5

A. 0

B. 0 or 2

C. 1 or 3

D. 0, 1, 2, or 3

**3) How many real roots does the following equation have?**

x^{4} Â- 81 = 0

A. 4

B. 2

C. 1

D. 0

**4) How many imaginary roots are there in the equation below?**

x^{3} + 9x = 0

A. 0

B. 1

C. 2

D. 3

**5) The polynomial x ^{3} – 4x^{2} – 29x – 24 has a factor of x – 8. Find the remaining factors. **

A. (x – 3)(x – 1)

B. (x + 3)(x + 1)

C. (x – 1)(x + 67)

D. (x – 67)(x + 1)

**6) The polynomial 3x ^{3} + 10x^{2} Â- x Â- 12 has a factor of x + 3. Find the remaining factors.**

A. (3x + 4)(x Â- 1)

B. (3x Â- 1)(x + 4)

C. (3x -Â 4)(x + 1)

D. (3x + 1)(x Â- 4)

**7) If g(x) = 3x ^{4} + x^{3} – 2x^{2} + x + 12, find g(-4).**

A. 680

B. 816

C. 744

D. 880

**8) If f(x) = -3x ^{5} – x + 2x^{3} – 1, what is f(2)?**

A. 15

B. 99

C. -25

D. -83

**9) Solve.**

A. 0

B. 2

C. -2

D. not enough information to tell

**10) Solve.**

A. 13

B. -4

C. 4

D. -13