Arrange $x^{2} + x^{5} + 2 x^{3} - 2 + 3 x$ in descending powers of $x$

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Solution

Descending numbers means numbers from highest to lowest.

Now, we have to arrange $x^{2} + x^{5} + 2 x^{3} - 2 + 3 x$ in descending powers of $x$ that is we have to arrange the powers of $x$ from highest to lowest as shown below:

$x^{5} + 2 x^{3} + x^{2} + 3 x - 2$

Hence, the descending order of powers of $x$ is $x^{5} + 2 x^{3} + x^{2} + 3 x - 2$ .

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Find the polynomial from the given information.

Quotient = x^{3} + 2 x

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