This page contains an applet to help you explore polynomials of degrees up to 5: f(x) = ax5 + bx4 + cx3 + dx2 + ex + f. by changing the values of the coefficients a, b, c, d, e and f. It is not easy to draw any conclusion when you change all 5 coefficients at the same time. You can always reduce the degree (highest power) by setting some parameters to zero. For example if you set parameter a to zero and b to a non zero value, you obtain a polynomial of degree 4.
What is a nautilus? The nautilus is a mollusk that uses jet propulsion to roam the ocean deep. Writers, artists, and engineers have long marveled at the nautilusâs beauty and swimming abilities. The chambered or pearly nautilus is a cephalopod (a type of mollusk)âa distant cousin to squids, octopi, and cuttlefish. Unlike its color-changing cousins, though, the soft-bodied nautilus lives inside its hard external shell. The shell itself has many closed interior chambers or âcompartments.â.
A chambered nautilus swam near Gnemelis Drop-Off, Palau, in the southwestern Pacific. Marine biologists have begun to consider whether it should be listed as an endangered species. Credit Stuart Westmorland.