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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.

User Elya
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ANSWER


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.

User Konsolebox
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