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Math Help - Finding the zeros of a function (algebriacally)

  1. #1
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    Finding the zeros of a function (algebriacally)

    f(x) = (-x^2)(e^-x) + 2xe^-x

    finding the zeros of this darn function, help please
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  2. #2
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    Quote Originally Posted by danielh9103 View Post
    f(x) = (-x^2)(e^-x) + 2xe^-x

    finding the zeros of this darn function, help please
    That's the purpose of factoring, writing an expression as a product.

    Fact: Zero multiplied by anything is zero because any amount of zeros is zero.

    So, can we factor that ?

    Yes, there is a common factor x and another e^{-x}

    -x^2e^{-x}+2xe^{-x}=xe^{-x}(2-x)=(x)\left(e^{-x}\right)(2-x)

    Now you can see which values of x causes that to be zero.
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