II część a)
Q(x)=x^4-2x^3+6x^2+x-5
Q(-2)=(-2)^4-2(-2)^3+6*(-2)^2+(-2)-5=16+16+24-2-5=56-7=49
Q(3)=3^4-2*3^3+6*3^2+3-5=81-54+54+3-5=79
Q(\sqrt2)=(\sqrt2)^4-2(\sqrt2)^3+6*(\sqrt2)^2+\sqrt2-5=4-2\sqrt{4*2}+6*2+\sqrt2-5
=4-4\sqrt2+12+\sqrt2-5=-3\sqrt2+11
Q(\frac{1}{2})=(\frac{1}{2})^4-2(\frac{1}{2})^3+6(\frac{1}{2})^2+\frac{1}{2}-5=
=\frac{1}{16}-2*\frac{1}{8}+6*\frac{1}{4}+\frac{1}{2}-5=\frac{1}{16}-\frac{4}{16}+\frac{3}{2}+\frac{1}{2}-5=-\frac{3}{16}+2-5=-3\frac{3}{10}
Q(-\frac{2}{3})=(-\frac{2}{3})^4-2*(-\frac{2}{3})^3+6(-\frac{2}{3})^2-\frac{2}{3}-5=
=\frac{16}{81}-2*(-\frac{8}{27})+6*\frac{4}{9}-\frac{2}{3}-5=\frac{16}{81}+\frac{16}{27}+\frac{8}{3}-\frac{2}{3}-5
=\frac{16}{81}+\frac{48}{81}+2-5=\frac{64}{81}-3=-2\frac{17}{81}
Q(2\sqrt3)=(2\sqrt3)^4-2(2\sqrt3)^3+6(2\sqrt3)^2+2\sqrt3-5=
=16*9-2*8\sqrt{9*3}+6*4*3+2\sqrt3-5=144-48\sqrt3+72+2\sqrt3-5
=-46\sqrt3+211
Q(-\sqrt5)=(-\sqrt5)^4-2(-\sqrt5)^3+6(-\sqrt5)^2-\sqrt5-5=
=25+2\sqrt{25*5}+6*5-\sqrt5-5=25+10\sqrt5+30-\sqrt5-5=9\sqrt5+50