Hi.
P(x)=16x^4-32x^3+16x^2+kx-5, where k is an integer. P(x) has two rational roots, which are opposites of each other, and two non-real roots.
a. If a (alpha) is a non-real root of p(x), show that Re(a)=1 and modulus(a)>1.
b. If the rational roots are +- b (beta), deduce that b^2<5/16/
c...