Keywords: LegendreRational2.png Plot of the seventh order n 7 Legendre rational function multiplied by 1+x for x between 0 01 and 100 Note that there are n zeroes arranged symmetrically about x 1' and if x<sub>0</sub> is a zero then 1/x<sub>0</sub> is a zero as well These properties hold for all orders Legendre rational functions XY plots |