Question $\newline$ Watch Video $\newline$ Rewrite the following polynomial in standard form. $\newline$ $-\frac{1}{2}+4 x^{3}+3 x+x^{4}-x^{5}$ $\newline$ Answer Attempt $1$ out of $2$ $\newline$ Answer: $\square$ $\newline$ Submit Answer $\newline$ yright (c) $2024$ DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service $\newline$ Support $\newline$ PowerSchool Community $\newline$ PRIVACY POLICY $\newline$ Terms of Use

Full solution

Q. Question

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Watch Video

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Rewrite the following polynomial in standard form.

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-\frac{1}{2}+4 x^{3}+3 x+x^{4}-x^{5}

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Answer Attempt

1

out of

2

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Answer:

\square

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Submit Answer

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yright (c)

2024

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Support

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PowerSchool Community

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Rewrite in descending order: Rewrite the polynomial in descending order of the exponents, starting with the highest degree term first. $\newline$ $x^5$ comes first, but since we have $-x^5$ , it remains negative.
Highest degree term: Next is $x^4$ , which is positive, so we just write it down after $-x^5$ .
Add positive terms: Then we have $4x^3$ , which is also positive, so we add it next in the sequence.
Include linear term: Now we include the $3x$ term, which is linear and has a positive coefficient.
Add constant term: Finally, we have the constant term $-(1/2)$ , which is negative and goes at the end.
Combine all terms: Combine all the terms to get the polynomial in standard form. $-x^5 + x^4 + 4x^3 + 3x - \frac{1}{2}$