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1. identify the extreme values of, f (x) = x^4-4x^3-x^2+12x-2

2. graph and state the domain and range of this function. h(x) = x^2-3x-4 / x-4

3. divide, using long division, (4x^4-5x^3+2x^2-x+5) ÷ (x^2+x+1)

4. divide, using synthetic division. 16x^3+80x^2+x+5 / x+5

5. determine the equations of the asymptotes: g(x)=2x^2+1 / x+3

6. use descartes rule of signs to describe the roots of, h(x) =4x^4-5x^3+2x^2-x+5

7. solve the polynomial equation x^3-6x^2-x+7=0

8. solve the polynomial equation, x^4+x^3-6x^2-14x-12=0

9. write a function with the given characterizes, a polynomial with rational coefficients having roots 3, 3, and 3 − i.

10. write a function with the given characteristics, a rational function with vertical asymptote x = 5 and horizontal asymptote y=1/2