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y = x^{4} - x^{3} - 28x^{2} - 20x + 48 How many possible negative real zeros, positive real zeros, and non-real zeros does this equation have?

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konrad509
[tex]f(x)= x^{4} - x^{3} - 28x^{2} - 20x + 48[/tex]

There are two changes of sign, so there are 2 or 0 possible positive roots.

[tex]f(-x)= x^{4} +x^{3} - 28x^{2}+ 20x + 48[/tex]

There are two changes of sign, so there are 2 or 0 possible negative roots.

There are 4,2 or 0 possible non-real roots.

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