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Math Help - Please help me solve rational zero problem

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    Please help me solve rational zero problem

    Can someone help me find the zeros to this equation? I have tried all possible zeros and none of them work!

    Equation is : d^3+5d^2+35d+175
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    Quote Originally Posted by runner940 View Post
    Can someone help me find the zeros to this equation? I have tried all possible zeros and none of them work!

    Equation is : d^3+5d^2+35d+175
    P(d) = d^3 + 5d^2 + 35d + 175 = 0

    Use factorisation by grouping 2 and 2.

    0 = d^3 + 35d + 5d^2 + 175

    0 = d(d^2 + 35) + 5(d^2 + 35)

    0 = (d^2 + 35)(d + 5).

    Now we can use the null factor law to find the zeros.

    d + 5 = 0 or d^2 + 35 = 0

    The only REAL zero is d = -5, and there are 2 complex zeros, namely d = \pm \sqrt{35}.
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