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6 October, 09:32

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

+5
Answers (1)
  1. 6 October, 11:40
    0
    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

    Step-by-step 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
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