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Math Help - Naming Polynomials

  1. #1
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    Naming Polynomials

    I need to name this polynomial. y=(x+4)(x+1)(x-3)

    Would it be a cubic polynomial because it's all multiplying, or would it be a linear?

    Please explain it to me..
    Thanks
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  2. #2
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    Re: Naming Polynomials

    The terms "cubic" and "linear" refer to the form of a polynomial that is a sum of monomials. A monomial is a coefficient multiplied by some power of x. Therefore, to decide if this polynomial is cubic or linear, you have to multiply through and to represent this polynomial as a sum of powers of x with some coefficients.

    Note, however, that whether it is cubic or linear depends only on the highest power of any monomial, so you don't need to find the coefficients.
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  3. #3
    MHF Contributor

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    Re: Naming Polynomials

    It all depends on the meanings of "cubic" and "linear". Do you know what those mean?
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