# Polynomials

Use the Rational Zero Theorem to list possible rational zeros for the polynomial:

P(x) =x^3+3 x^2-6x-8

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

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

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)

Write the logarithmic expression as a single logarithm.

Log (x+5) + 2 log x

https://brainmass.com/math/basic-algebra/solving-5-example-algebra-problems-5108

#### Solution Summary

Answers questions on polynomials, Descartes' Rule of Signs, zeros of the polynomial, graph of a function, intercepts and asymptotes and a logarithmic expression.