ANSWER
[tex]x^2+2+\frac{3}{4x^2}[/tex]EXPLANATION
We want to rewrite the given expression:
[tex]\frac{4x^4+8x^2+3}{4x^2}[/tex]in the form of a quotient, a remainder, and a divisor.
Since there is only one term in the divisor, we can rewrite the expression by dividing each term in the numerator by the divisor as follows:
[tex]\frac{4x^4}{4x^2}+\frac{8x^2}{4x^2}+\frac{3}{4x^2}[/tex]Now, simplify each term:
[tex]x^2+2+\frac{3}{4x^2}[/tex]That is the answer in the form of a quotient, a remainder, and a divisor.
