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anonymous

  • one year ago

Order the polynomial -x^4y^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4 in descending powers of x.

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  1. mathstudent55
    • one year ago
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    Powers of x are the exponents of x.

  2. anonymous
    • one year ago
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    oh so the closer x is to the front would be first or last?

  3. mathstudent55
    • one year ago
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    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.

  4. mathstudent55
    • one year ago
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    The higher the exponent of x is the earlier the term is written.

  5. anonymous
    • one year ago
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    so the 7x one first right?

  6. mathstudent55
    • one year ago
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    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.

  7. anonymous
    • one year ago
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    okay

  8. mathstudent55
    • one year ago
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    7 is a coefficient. A number that is a factor of the term. It is not an exponent.

  9. anonymous
    • one year ago
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    oh

  10. anonymous
    • one year ago
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    thanks for the help

  11. mathstudent55
    • one year ago
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    yw

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