Polynomial Functions:

1. What are all the possible rational zeros for f(x)=x^3+8x+6

2. What is 3[f(x+2)] if f(x)=x^3+2x^2-4?

3. How many Imaginary zeros does the

function f(x)=3x^4+2x^3+4x+7 have?

4. Identify the real zeros for the function f(x)=x^3-3x^2-53x-9.

5. What are all the possible rational zeros for f(x)=6x^3+6x^2-15x-2

6. If f(x)=x^3+4 and g(x)=x+3, find [g*f](2)

Sequences and Series:

7. What is the third term of the binomial expansion (2x+y)^6

8. What is S_n for the arithmetic series with a_1=3, a_n=-38, and n=8?

9. What is the fifth term of the binomial expansion (x+y)^7?

10.What are the missing terms of the geometric sequence -3, _, _, -375?

11. What is S_n of the geometric series with a_1=4, a_n=256, and n=4?

12. What are the next two terms of the sequence 32, -48, 72, -108, …?

13. What are the missing terms of the arithmetic sequence -8, _, _, 3?

14. What are the two arithmetic means between -13 and 8?

15. S_n for the arithmetic series with d=-4, a_n=27, and n=9

16. What is the twenty-ninth term of the arithmetic sequence with a_1=13 and d=-(5/2)?

Trigonometric Functions:

17. Imagine the point (11, -8) on the terminal side of an

angle. Find the value for the secant of this angle.

18. If the angle of elevations= of the sun with the ground is 10 degrees, what is the length of a shadow cast by a six-foot person to the nearest foot.

19. The area of a

triangle is 1142 square meters. We know two of its sides are 78 meters and 132 meters, Use the area formula for triangles shown below to determine the measure of the included angles between these two sides.

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