Write the polynomial in standard form: $12 x^{3} - x^{5} + 5 x^{7} - 2 x^{2} + 6 x^{3} - 2 + 3 x$

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Solution

The standard form for writing a polynomial is to put the term with the highest degree first, then the term with the next highest degree, and so on.
So, $x^{7}$ is the first highest degree
$x^{5}$ is the second highest degree.
So, $5 x^{7} - x^{5} + 18 x^{3} - 2 x^{2} + 3 x - 2$ is the standard form of the given polynomial $12 x^{3} - x^{5} + 5 x^{7} - 2 x^{2} + 6 x^{3} - 2 + 3 x$

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Write the polynomial in standard form: 12x3−x5+5x7−2x2+6x3−2+3x

Write the polynomial in standard form: $12 x^{3} - x^{5} + 5 x^{7} - 2 x^{2} + 6 x^{3} - 2 + 3 x$