calculus

Determine which consecutive integers the real zeros of the function are located.

f(x) = 4x^4 - 16x^3 - 25x^2 + 196x -146

Is there an easier way to this besides trial and error synthetic division?

Also, how do I approximate the real zeros?

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  1. If the zeroes are the result of whole numbers(X = 1,2,3,and etc),I eliminate
    the trial and error portion by using
    EXCEL spread sheets to find the zeroes; but in order to show your work, you will
    probably have to use synthetic division.

    1. 👍 0
    2. 👎 0
  2. If the zeroes are the result of whole numbers(X = 1,2,3,and etc),I eliminate
    the trial and error portion by using
    EXCEL spread sheets to find the zeroes; but in order to show your work, you will probably have to use synthetic division.

    You should double check your Eq, because the 2 zeroes that I found
    were not the result of whole X values:
    (-3.321 , 0.0) , (0.891 , 0.0).
    I inputed values of X ranging from -10 to +10 and only found the two zeroes shown above. They would be almost
    impossible to find by trial and error.

    Good luck!

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