Question: "Determine constants a, b, c, d, e that will produce a quadrature formula

that has degree of precision 4"

Some background information: degree of precision of a quadrature formula is the largest positive integer n such that the formula is exact for x^k for each k = 0,1, ... , n.

I'm not sure about this problem... I think d and e are 0 because a quadrature formula is given by constants times certain values f(x) at different x's. ie. the quadrature formula is:

Any suggestions?