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Math Help - calc cubic formula

  1. #1
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    calc cubic formula

    Find a formula for the following function.
    A cubic polynomial with a local maximum at x = 3, a local minimum at x = 5, a y-intercept of 4, and an x3 term whose coefficient is 1.

    does it get set up like x^3+ax^2+bx+4? then what?
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by bluejewballs View Post
    Find a formula for the following function.
    A cubic polynomial with a local maximum at x = 3, a local minimum at x = 5, a y-intercept of 4, and an x3 term whose coefficient is 1.

    does it get set up like x^3+ax^2+bx+4? then what?
    All of the stationary points (max, min, or saddle) occur when the deriviative is zero.

    y'=3x^2+2ax+b
    This should get you started.

    Good luck.
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