1.a.Find a polynomial of degree three (that is, a polynomial of the form

???? ???? = ???? + ???????? + ????????! + ????????!) whose graph goes through the points

0,1 , 1,0 , 1,0 , and 2,15 . Sketch a graph (or use an app) of this cubic.

1.b. "A duck costs four coins, five sparrows cost one coin, and a rooster costs one

coin. Somebody buys 100 birds for 100 coins. How many of each kind of bird can

he buy?" [Note that you cannot buy a fractional part of a bird]