college algebra

use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.

f(x)=x^3-8x^2-31x-22

asked by ladybug
  1. The RZT says that any rational root will be a factor of 22. So, the number of possibilities is quite limited:

    ±1 ±2 ±11 ±22

    A little synthetic division shows that

    f(x) = (x-11)(x+1)(x+2)

    posted by Steve

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