Polynomials, Descartes' Rule of Signs, zeros of the polynomial, Graph of a function, intercepts and asymptotes, logarithmic expression

8. Use the Rational Zero Theorem to list possible rational zeros for the polynomial:
P(x) =x^3+3 x^2-6x-8

9. Use Descartes' Rule of Signs to determine both the number of possible positive and the number of possible negative real zeros of the polynomial.

P(x) = 2 x^3 + x^2 - 25 x  + 12

10. Use the given zero to find the remaining zeros of the polynomial.

P(x) = 3 x^3 - 29 x^2 + 92 x + 34

The given zero = 5 + 3i

11. Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F(x). Label all intercepts and asymptotes.
f(x) = -4 / (x-3)

12. Write the logarithmic expression as a single logarithm.

  
Log (x+5) + 2 log x

Attached file(s):

Questions 8-12.doc  View File