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pre-calc

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How do I find all the real zeros of the polynomial function of these 3 ? ):

1) g(t) = 1/2t^4-1/2
2) g(t) = t^5-6t^3+9t
3) f(x) = 5x^4+15x^2+10

  • pre-calc -

    1. take out a common factor of 1/2, then factor as a difference of squares
    (1/2)(t^2 + 1)(t-1)(t+1)
    etc

    2.
    t(t^4 - 6t^2 + 9)
    = t(t^2 - 3)(t^2 -3)
    etc

    3. 5(x^4 + 3x^2 + 2)
    = 5(x^2 + 1)(x^2 + 2)
    etc

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