Can you find the value of this function involving algebraic fractions for x=2000?
By proving these particular identities, prove the existence of general cases.
A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys.
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.
Take a complicated fraction with the product of five quartics top and bottom and reduce this to a whole number. This is a numerical example involving some clever algebra.
