Thread: Math Contest Problem

I would really appreciate any help on this problem! It was from the 2002 Luzerne County Math Contest. How many real roots does x^6 - 6x^3 + x^2 - 2x + 11 possess? No calculator is allowed.

Originally Posted by eric1299171

I would really appreciate any help on this problem! It was from the 2002 Luzerne County Math Contest. How many real roots does x^6 - 6x^3 + x^2 - 2x + 11 possess? No calculator is allowed.

what does the last expression tell you about possible real roots?

There are no real roots since it is always greater than zero. Thanks for the help! =)