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pre calculus

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find the bounds on the real zeros?????
f(x) = x^5 - 5x^4 +8x + 2

  • pre calculus -

    Check your notes for the technique of using synthetic division to find upper/lower bounds on roots.

    If f(x)/(x-c) has all positive coefficients and c>0, c is an upper bound.

    If f(x)/(x-c) has alternating coefficients and c<0, c is a lower bound

    A little trial and error shows that
    5 is an upper bound and -1 is a lower bound

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