Find all the zeros of the polynomial function by using the Rational Zero Theorem, Descartes Rule of Signs and Synthetic Division.

f(x)=x^3-3x^2-33x+35

1 answer

DRS says there are
2 or 0 positive roots
1 negative root

RZT says look for roots among ±1,5,7,35

Synthetic division using easy values first says

f(x) = (x-1)(x^2-2x-35)

I think you can probably take it from there, ok?
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