Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.

Answer:
5[tex]x^{4}[/tex] - 8x² + 4
Step-by-step explanation:
Split the numerator, dividing each term by 4x³ , that is
[tex]\frac{20x^{7} }{4x^{3} }[/tex] - [tex]\frac{32x^{5} }{4x^{3} }[/tex] + [tex]\frac{16x^{3} }{4x^{3} }[/tex]
= 5[tex]x^{4}[/tex] - 8x² + 4 ← quotient