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Math Help - Roots of a polynomial

  1. #1
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    Roots of a polynomial

    Prove that the polynomial x^6+x^4-5x^2+1 has at least four real roots.
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by friday616 View Post
    Prove that the polynomial x^6+x^4-5x^2+1 has at least four real roots.
    Plug in a few numbers like -2, -1, 0, 1, 2 etc. and apply the Intermediate Value Theorem. If the y-values change sign on any given interval then the poly has at least one zero on that interval.

    Good luck!
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