MA2215: Fields, rings, and modules
... this implies that qx − p divides f(x) in Z[x]. Comparing the leading terms and the constant terms, we conclude that indeed p is a divisor of the constant term of this polynomial, and q is a divisor of its leading coefficient. (b) This generalisation is trivial: the argument only uses Gauss lemma whi ...
... this implies that qx − p divides f(x) in Z[x]. Comparing the leading terms and the constant terms, we conclude that indeed p is a divisor of the constant term of this polynomial, and q is a divisor of its leading coefficient. (b) This generalisation is trivial: the argument only uses Gauss lemma whi ...
1 Complex Numbers
... 4. Calculate the polar forms of z1 = 3 + i and z2 = 1 + i and plot z1 and z2 on a graph. Calculate the polar forms of z1 z2 and z1 /z2 and show these complex numbers on the same graph. Show the arguments and absolute values (moduli) of these complex numbers on your graph. ...
... 4. Calculate the polar forms of z1 = 3 + i and z2 = 1 + i and plot z1 and z2 on a graph. Calculate the polar forms of z1 z2 and z1 /z2 and show these complex numbers on the same graph. Show the arguments and absolute values (moduli) of these complex numbers on your graph. ...
