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Math Help - a problem in algebra

  1. #1
    Newbie sabyasachi's Avatar
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    a problem in algebra

    Here Is A Problem- Find The Hcf Of:
    m^4 - 4m^3 + 3m^2 + 2m -12 and  M^4 + 2m^2 + 9.thanks In advance
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  2. #2
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    Quote Originally Posted by sabyasachi View Post
    Here Is A Problem- Find The Hcf Of:
    m^4 - 4m^3 + 3m^2 + 2m -12 and  M^4 + 2m^2 + 9.thanks In advance
    m^4 - 4m^3 + 3m^2 + 2m -12 = (m^2 - 2m - 4)(m^2 - 2m + 3).

     m^4 + 2m^2 + 9 = (m^2 - 2m + 3)(m^2 + 2m + 3).

    Therefore ......
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  3. #3
    Newbie sabyasachi's Avatar
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    thank you but can you explain how to factorise expressions like these?
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  4. #4
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    Quote Originally Posted by mr fantastic View Post
    m^4 - 4m^3 + 3m^2 + 2m -12 = (m^2 - 2m - 4)(m^2 - 2m + 3).

     m^4 + 2m^2 + 9 = (m^2 - 2m + 3)(m^2 + 2m + 3).

    Therefore ......
    Neither have real linear factors, so the obvious thing to do is look for irreducible quadratic factors ......
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