Question

Explain how to determine the long term (end) behavior of the following two polynomials:

cubic polynomial with negative leading coefficient like y=-2x^3+3x^2+x+1;
quartic polynomial with positive leading coefficient like y=5x^4+3x^2+4x+9.

Answer 1

6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.