a)
v(x)=-6x^2+4+x^3
v(x)=x^3-6x^2+4
a_3=1 , a_2=-6 , a_1=0 , a_0=4
b)
w(x)=\frac{1}{2}x+\frac{1}{4}x^4-\frac{1}{3}x^3-\frac{1}{6}x^5-1
w(x)=-\frac{1}{6}x^5+\frac{1}{4}x^4-\frac{1}{3}x^3+\frac{1}{2}x-1
a_5=-\frac{1}{6} , a_4=\frac{1}{4} , a_3=-\frac{1}{3} , a_2=0 , a_1=\frac{1}{2} , a_0=-1
-\frac{1}{6}+\frac{1}{4}-\frac{1}{3}+0+\frac{1}{2}-1=\frac{-2+3-4+6-12}{12}=\frac{-9}{12}=-\frac{3}{4}