Question

Which expression represents the polynomial −2x2−4x4+8x+x5−2x3 rewritten in descending order?

Answer 1

Answer:

option D

Step-by-step explanation:

Answer 2

For this case we have the following polynomial:

$P (x) = - 2x ^ 2-4x ^ 4 + 8x + x ^ 5-2x ^ 3$

By definition, a polynomial in its standard form is given by:

$f (x) = ax ^ n ... + bx ^ i + ... cx ^ 3 + dx ^ 2 + ex + f$

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:

$P (x) = x ^ 5-4x ^ 4-2x ^ 3-2x ^ 2 + 8x$

Thus, the polynomial in its descending form is given by:

$P (x) = x ^ 5-4x ^ 4-2x ^ 3-2x ^ 2 + 8x$

Answer:

Option D