Question

Rewrite (4x^4 + 8x^2 + 3)/(4x^2) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.

Answer 1

`x^2+2+(3)/(4x^2)`

Step-by-step explanation

We want to rewrite the given expression:

`(4x^4+8x^2+3)/(4x^2)`

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:

`(4x^4)/(4x^2)+(8x^2)/(4x^2)+(3)/(4x^2)`

Now, simplify each term:

`x^2+2+(3)/(4x^2)`

That is the answer in the form of a quotient, a remainder, and a divisor.