Question

Rewrite the polynomial −2x3+4x5−3x2−7 in descending order, using coefficients of 0 for any missing terms. Which term is first, second, third, etc., when the polynomial is written in this way? Match the term number to the appropriate term.

Answer 1

`4x^(5) + 0x^4 - 2x^3 - 3x^2 + 0x - 7`

Explanation:

`-2x^(3) + 4x^(5) - 3x^(2) - 7`

To write the complete polynomial in descending order, we will start with the term which has the highest power and then add the missing terms in it using 0 as the coefficient for x:

`4x^5 - 2x^3 - 3x^2 - 7`

`4x^(5) + 0x^4 - 2x^3 - 3x^2 + 0x - 7`

First term :
`4x^5`

Second term:
`0x^4`

Third term:
`-2x^3`

Fourth term:
`-3x^2`

Fifth term:
`0x`

Sixth term:
`-7`

Answer 2

Answer: 4x^5+0x^4−2x^3−3x^2+0x−7

First term: 4x^5

Second term: 0x^4

Third term: -2x^3

Fourth term: -3x^2

Fifth term: 0x

Sixth term: -7

Solution:

-2x^3+4x^5-3x^2-7

Ordering the terms in descending order:

4x^5-2x^3-3x^2-7

We don't have the terms with exponent 4 and 1, then we complete the polynomial adding this terms with coefficient of 0:

4x^5+0x^4-2x^3-3x^2+0x-7