Question

rewrite the following polynomial in standard form. $5x^{2}+3x^{3}-x^{4}+\frac{1}{7}$

Explanation:

Step1: Identify term degrees

Degrees: $5x^2$ (2), $3x^3$ (3), $-x^4$ (4), $\frac{1}{7}$ (0)

Step2: Sort by descending degree

Order terms from highest to lowest degree: $-x^4, 3x^3, 5x^2, \frac{1}{7}$

Step3: Combine into standard form

Arrange sorted terms into a single polynomial.

Answer:

$-x^4 + 3x^3 + 5x^2 + \frac{1}{7}$