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) = 3x³ ­- 2x² + 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) = 4x³ – 6x² + 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?

x⁴ ­- 81 = 0

A. 4

B. 2

C. 1

D. 0

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

x³ + 9x = 0

A. 0

B. 1

C. 2

D. 3

5) The polynomial x³ – 4x² – 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 3x³ + 10x² ­- x ­- 12 has a factor of x + 3. Find the remaining factors.

A. (3x + 4)(x ­- 1)

B. (3x ­- 1)(x + 4)

C. (3x -­ 4)(x + 1)

D. (3x + 1)(x ­- 4)

7) If g(x) = 3x⁴ + x³ – 2x² + x + 12, find g(-4).

A. 680

B. 816

C. 744

D. 880

8) If f(x) = -3x⁵ – x + 2x³ – 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

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