N nfreidman New Member Joined Mar 15, 2012 Messages 15 Gender Female HSC 2012 May 9, 2012 #1 if you have a polynomial that is monic, has degree 4, has rational coefficients, is even and has a zero at -1+31/2, how do you figure out what it is? thanks
if you have a polynomial that is monic, has degree 4, has rational coefficients, is even and has a zero at -1+31/2, how do you figure out what it is? thanks
asianese Σ Joined Sep 20, 2010 Messages 2,222 Gender Undisclosed HSC 2012 May 9, 2012 #2 , as it is even, there are no odd powers of x. Imagine the curve as a x^4, if it cuts at , then it must cut at Last edited: May 9, 2012
, as it is even, there are no odd powers of x. Imagine the curve as a x^4, if it cuts at , then it must cut at