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Algebra 2!!!!

Use the graph to shorten the list of possible rational zeros of the function. Then find all real zeros of the function.

1.) f(x)= 4x^3-8x^2-15x+9

4.) f(x)= 2x^3-5x^2-4x+10

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  1. who knows how to do this?

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  2. checking the graphs at wolframalpha.com,

    http://www.wolframalpha.com/input/?i=4x^3-8x^2-15x%2B9

    http://www.wolframalpha.com/input/?i=2x^3-5x^2-4x%2B10

    it is clear that
    #1 has a root at x = 3
    #2 has a root at x = 5/2

    So, divide through and you can use the quadratic formula to find the other roots.

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  3. the answer is wherever the graph hits the x axis.
    1. -3/4, 1/2, 3
    2. -3/2, 3/2, 5/2

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