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Divide the polynomials. Your answer should be a polynomial.

(2x^(5)+5x^(3))/(x)=

Divide the polynomials. Your answer should be a polynomial. $\newline$ $\frac{2 x^{5}+5 x^{3}}{x}=$

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Factor sums and differences of cubes

Full solution

Q. Divide the polynomials. Your answer should be a polynomial.

\newline

\frac{2 x^{5}+5 x^{3}}{x}=

Understand Division: Understand the division of polynomials. When dividing a polynomial by a monomial, you divide each term of the polynomial by the monomial.
Divide First Term: Divide the first term of the polynomial by $x$ . $\newline$ $\frac{2x^5}{x} = 2x^{5-1} = 2x^4$
Divide Second Term: Divide the second term of the polynomial by $x$ . $\newline$ $\frac{5x^3}{x} = 5x^{3-1} = 5x^2$
Combine Results: Combine the results of the division. $\newline$ The result of dividing the polynomial $2x^5 + 5x^3$ by $x$ is the sum of the individual quotients from steps $2$ and $3$ . $\newline$ $2x^4 + 5x^2$

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