Question

Rewrite the polynomial 4x^2-7x^3-x^6+3x^4-1 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.
Term 7
Select an option
Term 6
Select an option
Term 5
Select an option
Term 4
Select an option
Term 3
Select an option
Term 2
Select an option
Term 1
Select an optio

Answer 1

The polyester in standard form with zero placeholders is

-x^6+0x^5+3x^4+-7x^3+4x^2+0x+-1

7th term -1

6th term 0x

5th term 4x^2

4th term -7x^3

3rd term 3x^4

2nd term 0x^5

1st term -x^6

Explanation:

We want to write 4x^2-7x^3-x^6+3x^4-1 in descending order means want the exponents to being counting down.

6 is the highest exponent so lets rearrange this so that tern comes first:

-x^6+.....

5 is the highest but we are missing so now we have:

-x^6+0x^5+....

4 is the next highest and I see +3x^4 in our polynomial so that comes next:

-x^6+0x^5+3x^4+...

3 is the next highest and I see -7x^3 so that term comes next:

-x^6+0x^5+3x^4+-7x^3+....

2 is the next highest and I see +4x^2 so that term comes next:

-x^6+0x^5+3x^4+-7x^3+4x^2+...

1 is the next highest and we are missing an x term so the next term is +0x.....

-x^6+0x^5+3x^4+-7x^3+4x^2+0x+....

0 is the next highest and will be the last term we write. This is the constant tern, the term without the variable and that is -1.

-x^6+0x^5+3x^4+-7x^3+4x^2+0x+-1

Now I guess you are reading this from left to right when numbering the terms as first, second, and so on...

1st term -x^6

2nd term 0x^5

3rd term 3x^4

4th tern -7x^3

5th term 4x^2

6th term 0x

7th term -1