Question

Rewrite in standard form
x + 8x⁴ + 2x² - 1/6

Answer 1

To rewrite the polynomial x + 8x⁴ + 2x² - 1/6 in standard form, simply reorder the terms by degree, resulting in 8x⁴ + 2x² + x - 1/6.

Step-by-step explanation:

The student's question asks to rewrite the polynomial x + 8x⁴ + 2x² - 1/6 in standard form. The standard form for a polynomial is to write it as a sum of terms ordered from highest to lowest degree, with the coefficients in front of the variables. Here's how the polynomial should be rewritten:

8x⁴ + 2x² + x - 1/6

In this case, we've simply reordered the terms to fit the standard form, which typically starts with the term with the highest exponent and ends with the constant term (if one exists). No other operations are needed to put this polynomial in standard form.