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tatumlee

  • one year ago

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Can someone help me answer this question? Thank you

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  1. JoannaBlackwelder
    • one year ago
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    I would factor the polynomial, or use polynomial division.

  2. tatumlee
    • one year ago
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    Are you able to explain what these things are?

  3. JoannaBlackwelder
    • one year ago
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    Sure. Factoring is easiest if the polynomial is a quadratic.

  4. JoannaBlackwelder
    • one year ago
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    What kind of polynomials are you dealing with?

  5. anonymous
    • one year ago
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    if you get no remainder, then it is a factor just like with whole numbers

  6. tatumlee
    • one year ago
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    The unit I am working on is Rational Expressions and Functions and it's trying to show me how to divide polynomials, it doesn't say any kind of polynomial specifically

  7. JoannaBlackwelder
    • one year ago
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    Ok, I can give you an example. Just a sec.

  8. JoannaBlackwelder
    • one year ago
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    |dw:1432952759751:dw|

  9. JoannaBlackwelder
    • one year ago
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    We can write that as a polynomial division problem like this:

  10. JoannaBlackwelder
    • one year ago
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    |dw:1432952827148:dw|

  11. JoannaBlackwelder
    • one year ago
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    And we can divide in a similar way to regular division.

  12. JoannaBlackwelder
    • one year ago
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    |dw:1432952897642:dw|

  13. JoannaBlackwelder
    • one year ago
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    Does that make sense so far?

  14. tatumlee
    • one year ago
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    Yes it is starting to

  15. JoannaBlackwelder
    • one year ago
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    :-)

  16. JoannaBlackwelder
    • one year ago
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    |dw:1432952978787:dw|

  17. JoannaBlackwelder
    • one year ago
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    Like @satellite73 said, when the remainder is 0, the binomial is a factor.

  18. tatumlee
    • one year ago
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    That makes better sense now, thank you for explaining those steps.

  19. JoannaBlackwelder
    • one year ago
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    You're welcome :-)

  20. amistre64
    • one year ago
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    IF the top and bottom have common factors then whatever makes the bottom equal zero will make the top go zero as well.

  21. amistre64
    • one year ago
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    |dw:1432953354604:dw| when x=a, the top and bottom are both zeros

  22. amistre64
    • one year ago
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    |dw:1432953486071:dw|

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