â The place where you hang your hat is the place where you live or stay. I'm looking for a new place to hang my hat. [+] more examples [-] hide examples [+] Example sentences [-] Hide examples.
The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
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.