Question: Answer each one as true or false:

a) \[\frac{7+3i}{5+3i}=\frac{7}{5}\]

b) In the complex number system, \[{{x}^{2}}+{{y}^{2}}\] can be factored as \[(x+yi)(x-yi)\]

c) Any problem that can be done by synthetic division can be done by the method for long division of polynomials.

d) The equation \[{{x}^{3}}+5{{x}^{2}}+6x+1=0\] has on positive real root.

e) \[-i\sqrt{6}\] is a solution of \[{{x}^{4}}-{{x}^{2}}+14=56\]