Questions: Which polynomial is in standard form? 2x^4+6+24x^5 6x^2-9x^3+12x^4 19x+6x^2+2 23x^9-12x^4+18

Which polynomial is in standard form? 2x^4+6+24x^5 6x^2-9x^3+12x^4 19x+6x^2+2 23x^9-12x^4+18
Transcript text: Which polynomial is in standard form? $2 x^{4}+6+24 x^{5}$ $6 x^{2}-9 x^{3}+12 x^{4}$ $19 x+6 x^{2}+2$ $23 x^{9}-12 x^{4}+18$
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Solution

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Determine which polynomial is in standard form.

Definition of standard form

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Analyze the first polynomial

The polynomial \(2x^{4} + 6 + 24x^{5}\) is not in standard form because the terms are not in descending order of degrees.

Analyze the second polynomial

The polynomial \(6x^{2} - 9x^{3} + 12x^{4}\) is not in standard form because the terms are not in descending order of degrees.

Analyze the third polynomial

The polynomial \(19x + 6x^{2} + 2\) is not in standard form because the terms are not in descending order of degrees.

Analyze the fourth polynomial

The polynomial \(23x^{9} - 12x^{4} + 18\) is in standard form because the terms are arranged in descending order of degrees.

\(\boxed{23x^{9} - 12x^{4} + 18}\)

\(\boxed{23x^{9} - 12x^{4} + 18}\) is the polynomial in standard form.

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