Problem

Find the quotient of the given polynomial division:
$\left(4 x^{4}+5\right) \div\left(x^{2}+1\right)$

Answer

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Answer

The quotient of the given polynomial division is \(\boxed{4x^2}\)

Steps

Step 1 :Define the polynomials to be divided: \(p1 = 4x^4 + 5\) and \(p2 = x^2 + 1\)

Step 2 :Perform the polynomial division to find the quotient. The remainder is not needed in this case, as the question only asks for the quotient.

Step 3 :The quotient of the given polynomial division is \(\boxed{4x^2}\)

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