which represents the polynomial written in standard form? 4m - 2m^4 - 6m^2 + 9\n9 + 4m + 2m^4 - 6m^2\n2m^4…

which represents the polynomial written in standard form? 4m - 2m^4 - 6m^2 + 9\n9 + 4m + 2m^4 - 6m^2\n2m^4 - 6m^2 - 4m + 9\n9 - 6m^2 + 4m - 2m^4\n-2m^4 - 6m^2 + 4m + 9
Answer
Explanation:
Step1: Recall standard - form of polynomial
A polynomial in standard form is written with the terms in descending order of their degrees. The degrees of the terms in the polynomial (4m - 2m^{4}-6m^{2}+9) are: for (4m) the degree is 1, for (-2m^{4}) the degree is 4, for (-6m^{2}) the degree is 2, and for 9 the degree is 0.
Step2: Rearrange the terms
We arrange the terms in descending order of their degrees: (-2m^{4}-6m^{2}+4m + 9)
Answer:
-2m^{4}-6m^{2}+4m + 9 (corresponding to the last option)