Problem

Divide using polynomial long division.
\[
\left(7 x^{3}+x^{2}+x\right) \div\left(x^{2}+1\right)=\square
\]

Answer

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Answer

So, the result of the polynomial long division is \(\boxed{7x}\).

Steps

Step 1 :Let's perform polynomial long division on the given polynomials.

Step 2 :The dividend is \(7x^{3} + x^{2} + x\).

Step 3 :The divisor is \(x^{2} + 1\).

Step 4 :Performing the division, we find that the quotient is \(7x\).

Step 5 :So, the result of the polynomial long division is \(\boxed{7x}\).

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