Simplify the polynomial into standard form:
$10 x^{3} - 4 x^{2} + 12 x^{6} - 2 x^{2} + 14 x^{7} - 5 x^{3}$

14 x^{7} + 12 x^{6} + 5 x^{3} - 6 x^{2}

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14 x^{6} + 12 x^{7} + 5 x^{3} - 6 x^{2}

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12 x^{5} + 14 x^{7} + 5 x^{3} - 4 x^{2} - 2 x^{2}

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14 x^{7} + 5 x^{3} + 12 x^{6} - 6 x^{2}

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Solution

The correct option is A $14 x^{7} + 12 x^{6} + 5 x^{3} - 6 x^{2}$
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
$x^{6}$ is the second highest degree.
So, $14 x^{7} + 12 x^{6} + 5 x^{3} - 6 x^{2}$ is the standard form of the given polynomial $10 x^{3} - 4 x^{2} + 12 x^{6} - 2 x^{2} + 14 x^{7} - 5 x^{3}$

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