pre cal

Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 3x + 18

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  1. Clearly your function is a straight line with a slope of 3
    So it has one zero.
    solve 3x+18 = 0 , etc

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    Reiny
  2. however, if you want to go through the math, applicable to more difficult problems,
    3x+18 = 0
    3(x+6) = 0
    Now you have a product whose results is zero. If two numbers multiplied together produce a zero product, then at least one of them must be zero. That is the key to solving these things.
    So, either
    3 = 0 (sorry, no solution here)
    or
    x+6 = 0
    x = -6
    That covers all the possibilities. That is why we factor polynomials and set the product to zero.

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    oobleck

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