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Math Help - Need help with this one

  1. #1
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    Need help with this one

    Find all zeros of the function and write the polynomial as a product of linear factors.

    F(x)=x^3+2x^2-3X-10
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  2. #2
    Member
    Joined
    May 2009
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    New Delhi
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    you see,if we put x= 2 then f(x)=0
    therefore (x-2) is a factor of f(x)

    now divide  x^3+2x^2-3X-10 by (x-2) to get other factors
    if stuck check spoiler
    Spoiler:

     x^3+2x^2-3X-10 = (x-2)(x^2+4x+5)
    solving (x^2+4x+5) using  \frac {-b \pm \sqrt{b^2-4ac}}{2a}
    we get x =  (-2\pm i)
     \therefore  x^3+2x^2-3X-10 = (x-2)(x+2+i)(x+2-i)
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