Question

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

A-  −2x2−4x4+8x+x5−2x3
B- −4x4−2x2+8x+x5−2x3
C- −4x4−2x3−2x2+8x+x5
D- x5−4x4−2x3−2x2+8x
E- 8x+x5−2x2−2x3−4x4

Answer 1

option D

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