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Math Help - Adding polynomials

  1. #1
    Senior Member vaironxxrd's Avatar
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    Adding polynomials

    Is my answer right?

    (3x^3&-5x^4&-10x&+1)&+(17x^4&-x^3)


    (3x^3&-5x^4&-10x&+1)
    + (17x^4&-x^3)

    Answer = 12x^4&-x^3&-10x&+1

    I was told it does not have to be in standard form, but it helps to have it in standard form.. Is that true?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Adding polynomials

    It's not entirely correct, because 3x^3-x^3=2x^3 and not -x^3.
    And to write the polynomial in a decraising way of the degrees is just a useful notation.
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  3. #3
    Senior Member vaironxxrd's Avatar
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    Re: Adding polynomials

    Quote Originally Posted by Siron View Post
    It's not entirely correct, because 3x^3-x^3=2x^3 and not -x^3.
    And to write the polynomial in a decraising way of the degrees is just a useful notation.
    Oh, so is basically subtracting 3x^3-&1x^3

    By the way the exponents only cancel when dividing?
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  4. #4
    MHF Contributor Siron's Avatar
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    Re: Adding polynomials

    Quote Originally Posted by vaironxxrd View Post
    Oh, so is basically subtracting 3x^3-&1x^3
    Indeed!

    Quote Originally Posted by vaironxxrd
    By the way the exponents only cancel when dividing?
    It depends, in general:
    \frac{a^{x}}{a^{y}}=a^{x-y}
    So if x=y then indeed the exponent cancels.
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