Arrange $x^{8} + x + x^{12} - 3 x^{7} + x^{9} + 1$ in descending powers of $x$

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Solution

Descending numbers means numbers from highest to lowest.

Now, we have to arrange $x^{8} + x + x^{12} - 3 x^{7} + x^{9} + 1$ in descending powers of $x$ that is we have to arrange the powers of $x$ from highest to lowest as shown below:

$x^{12} + x^{9} + x^{8} - 3 x^{7} + x + 1$

Hence, the descending order of powers of $x$ is $x^{12} + x^{9} + x^{8} - 3 x^{7} + x + 1$ .

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