Divide by long division method 4x³-x+1by(2x-1)

\left[x _{2}\right] = \left[ \frac{-1+i \,\sqrt{3}+2\,by+\left( -2\,i \right) \,\sqrt{3}\,by}{2^{\frac{2}{3}}\,\sqrt[3]{\left( 432\,by+\sqrt{\left( -6912+41472\,by+103680\,by^{2}+55296\,by^{3}\right) }\right) }}+\frac{\frac{ - \sqrt[3]{\left( 432\,by+\sqrt{\left( -6912+41472\,by+103680\,by^{2}+55296\,by^{3}\right) }\right) }}{24}+\left( \frac{-1}{24}\,i \right) \,\sqrt{3}\,\sqrt[3]{\left( 432\,by+\sqrt{\left( -6912+41472\,by+103680\,by^{2}+55296\,by^{3}\right) }\right) }}{\sqrt[3]{2}}\right][x​2​​]=​⎣​⎢​⎢​⎢​⎢​⎡​​​2​​3​​2​​​​​3​​√​(432by+√​(−6912+41472by+103680by​2​​+55296by​3​​)​​​)​​​​​−1+i√​3​​​+2by+(−2i)√​3​​​by​​+​​3​​√​2​​​​​​24​​−​3​​√​(432by+√​(−6912+41472by+103680by​2​​+55296by​3​​)​​​)​​​​​+(​24​​−1​​i)√​3​​​​3​​√​(432by+√​(−6912+41472by+103680by​2​​+55296by​3​​)​​​)​​​​​​⎦​⎥​⎥​⎥​⎥​⎤​​
totally answer.