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Divide the polynomials.
Your answer should be a polynomial.

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

Divide the polynomials. $\newline$ Your answer should be a polynomial. $\newline$ $\frac{4 x^{3}+x^{2}}{x}=$

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Change of base formula

Full solution

Q. Divide the polynomials.

\newline

Your answer should be a polynomial.

\newline

\frac{4 x^{3}+x^{2}}{x}=

Understand Polynomial Division: Understand the division of polynomials. When dividing a polynomial by a monomial, we divide each term of the polynomial by the monomial.
Divide First Term: Divide the first term of the polynomial by $x$ . $\newline$ $\frac{4x^3}{x} = 4x^{3-1} = 4x^2$
Divide Second Term: Divide the second term of the polynomial by $x$ . $\newline$ $\frac{x^2}{x} = x^{2-1} = x$
Combine Results: Combine the results of the division. $\newline$ The result of dividing $4x^3 + x^2$ by $x$ is the sum of the individual quotients from steps $2$ and $3$ . $\newline$ $4x^2 + x$

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