anonymous
  • anonymous
Order the polynomial -x^4y^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4 in descending powers of x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
Powers of x are the exponents of x.
anonymous
  • anonymous
oh so the closer x is to the front would be first or last?
mathstudent55
  • mathstudent55
Start with the term with the highest exponent of x and then write each term with the next lower exponent of x, and keep going until you have all terms.

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mathstudent55
  • mathstudent55
The higher the exponent of x is the earlier the term is written.
anonymous
  • anonymous
so the 7x one first right?
mathstudent55
  • mathstudent55
Look below. The exponents of x are in red. Notice that for the term \(-3xy^5\), there is an exponent of 1 on the x. That is because x is the same as \(x^1\) \(\Large -x^\color{red}{4}y^2 + 7x^\color{red}{3}y^3 - 3x^\color{red}{1}y^5 + 2x^\color{red}{2}y^4\) Now you pout the terms in order starting with the term with exponent 5. Also, keep in mind that a negative sign to the left of a term belongs to that term.
anonymous
  • anonymous
okay
mathstudent55
  • mathstudent55
7 is a coefficient. A number that is a factor of the term. It is not an exponent.
anonymous
  • anonymous
oh
anonymous
  • anonymous
thanks for the help
mathstudent55
  • mathstudent55
yw

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