Rodriquez Fuentes
07/19/2023 · Middle School

Part 1 of 2 (a) Find the rational zeros and then the other zeros of the polynomial function \( f(x)=x^{3}-133 x+132 \); that is, solve \( f(x)=0 \). (b) Factor \( f(x) \) into linear factors. (a) Select the correct choice below and fill in any answer box(es) within your choice. (Type integers or fractions. Use a comma to separate answers as needed. Type exact answers, using radicals as needed. E A. There are only rational zeros and the zeros are \( \square \). The rational zero(s) is/are \( \square \), and the other zero(s) is/are \( \square \). C. There are no rational zeros. The other zeros are \( \square \).

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The rational zeros of the polynomial \( f(x) = x^3 - 133x + 132 \) are \( x = -12, 1, 11 \). The polynomial can be factored as \( (x-11)(x-1)(x+12) \).

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