For this case we have the following polynomial:
[tex]P (x) = - 2x ^ 2-4x ^ 4 + 8x + x ^ 5-2x ^ 3[/tex]
By definition, a polynomial in its standard form is given by:
[tex]f (x) = ax ^ n ... + bx ^ i + ... cx ^ 3 + dx ^ 2 + ex + f[/tex]
Where:
a, b, c, d, e, f: They are the coefficients of each term of the polynomial.
x: It is the variable
n, i, 3,2,1,0: They are the exponents of each term of the polynomial, where n is the exponent of greater degree.
In this case they ask us to order the given polynomial, in a descending way, that is, from greater to lesser degree.
So, we have:
[tex]P (x) = x ^ 5-4x ^ 4-2x ^ 3-2x ^ 2 + 8x[/tex]
Thus, the polynomial in its descending form is given by:
[tex]P (x) = x ^ 5-4x ^ 4-2x ^ 3-2x ^ 2 + 8x[/tex]
Answer:
Option D
