Answered

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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.

Sagot :

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.

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