use the rational zeros theorem to find all real zeros of the polynomial function and use the zeros to factor f over the real numbers. f(x)=11x^3-x^2+11x-1
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They show how to do this here. Start with the Rational Zroes Thm to get the potential roots: +/- (1/11) so 1, 1/11, -1, -1/11. Try the easy ones first: 1, -1. As soon as you find one root, then do the Quadratic Thm to what's left.use the rational zeros theorem to find all real zeros of the polynomial function and use the zeros to factor f over the real numbers. f(x)=11x^3-x^2+11x-1