Okay so for a homework question I have to do Simpson's Rule- A=w/3[y0+yn+4(odd)+2(even)] with a polynomial of degree one, two and three. I have done this.

But it is asking me to justify why Simpson's Rule does not work for polynomials of degree four? I have no clue... thankyou!

Question

Okay so for a homework question I have to do Simpson's Rule- A=w/3[y0+yn+4(odd)+2(even)] with a polynomial of degree one, two and three. I have done this. 

But it is asking me to justify why Simpson's Rule does not work for polynomials of degree four? I have no clue... thankyou!

anonymous · Answer

look at this - it explains why simpsons works for polynomials of degree 3 or less http://en.wikipedia.org/wiki/Simpson's_rule look into the Error section