Polynomials Problem:

Question

1. List three factors of g(x) of the form x−r: x + 1, x - 1, x - 2
2. The smallest possible value for the degree of g is 3.
3. A function of the form axn that approximates g(x) for large values of |x| is f(x)= 3x^3.
4. This tells us that the degree of g is 3 and the coefficient of the highest degree term of g(x) is 3.
5. Use the results of your investigation above to determine a formula for the function g:
g(x)= ______________ ?

Please help me figure out the 5th question. Thanks in advance!!

Answer 1

The question shown above is very similar to your previous question:
http://www.jiskha.com/display.cgi?id=1265585894

In fact, this question would be a good test of your understanding.

Do try to come up with an answer, and if the computer software does not accept it, then post your answer for discussion. I am quite sure you would get the correct answer the first time.