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Thread: Factoring a polynomial

  1. #1
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    Factoring a polynomial

    Factor x3+8x2+24x+16.
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  2. #2
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    Re: Factoring a polynomial

    There is a standard approach to factorising polynomials. It involves using the factor theorem then either inspection or algebraic division.
    Quick google search will give you an example that is relatively easy to follow.
    Try it first and post where you get stuck and we can help from there.
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  3. #3
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    Re: Factoring a polynomial

    I did this:
    x3+8x2+24x+16
    =x(x2+8x+16)+8x+16
    =x(x+4)2+8(x+2)
    This is where I got stuck.
    I haven't learned the factor theorem yet.
    Last edited by louis33; Nov 26th 2017 at 06:36 AM.
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  4. #4
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    Re: Factoring a polynomial

    The polynomial $y=x^3+8x^2+24x+16$ has no rational roots, therefore it is irreducible over the rationals, i.e. it will not factor.
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