the remainder and factor theorems algebra homework help

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How many possible positive zeros does the function below have?

f(x) = 3×3 ­- 2×2 + 4x + 1


0

0 or 2

1 or 3

0, 1, 2, or 3

=====================

How many possible negative zeros does the function below have?

f(x) = 4×3 – 6×2 + 8x – 5


0

0 or 2

1 or 3

0, 1, 2, or 3

=========================

How many real roots does the following equation have?

x4 ­- 81 = 0


4

2

1

0

========================

How many imaginary roots are there in the equation below?

x3 + 9x = 0


0

1

2

3

================

The polynomial x3 – 4×2 – 29x – 24 has a factor of x – 8. Find the remaining factors.


(x – 3)(x – 1)

(x + 3)(x + 1)

(x – 1)(x + 67)

(x – 67)(x + 1)

======================

The polynomial 3×3 + 10×2 ­- x ­- 12 has a factor of x + 3. Find the remaining factors.


(3x + 4)(x ­- 1)

(3x ­- 1)(x + 4)

(3x -­ 4)(x + 1)

(3x + 1)(x ­- 4)

=================================

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


680

816

744

880

======================

If f(x) = -3×5 – x + 2×3 – 1, what is f(2)?


15

99

-25

-83

=====================

Solve.


0

2

-2

not enough information to tell

===================

Solve.


13

-4

4

-13

=========================

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