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Divide the polynomials.
Your answer should be a polynomial.

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

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

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Factor sums and differences of cubes

Full solution

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

\newline

\frac{x^{2}+2 x}{x}=\square

Given division problem: We are given the division problem $(x^2 + 2x) / x$ . To solve this, we will divide each term in the numerator by the denominator individually.
Step $1$ : Divide $x^2$ by $x$ : First, divide the term $x^2$ by $x$ . This gives us $x^2 / x = x$ , because when we divide powers with the same base, we subtract the exponents ( $2 - 1 = 1$ ).
Step $2$ : Divide $2x$ by $x$ : Next, divide the term $2x$ by $x$ . This gives us $\frac{2x}{x} = 2$ , because the $x$ terms cancel out (they are the same power of $x$ , which is $x^1$ ).
Step $3$ : Combine the results: Now, combine the results of the two divisions. We have $x$ from the first division and $2$ from the second division, so the result is $x + 2$ .
Step $4$ : Final result: We have completed the division without any remainder. The polynomial $x^2 + 2x$ divided by $x$ is $x + 2$ .

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