For this case, we have that by definition, a polynomial in its standard form, is given by:
![P (x) = ax ^ n +bx^(n-1) ... + cx ^ 3 + dx ^ 2 + ex + f](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7agk149lks1psx6ovhq2k51tmf2litpn5m.png)
Where:
a, b, c, d, e,f: They are the coefficients
x: It is the variable
n, n-1,3,2,1,0: They are the exponents. The degree of the polynomial is n, because it is the largest exponent.
So, we have to:
![2x ^ 3 + 4x ^ 2-7x + 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/njvqm2sensfmycfhdfaamnvh9j389b9z6m.png)
It is given in its standard form.
ANswer:
Option D