Homework Help: college algebra

Posted by ladybug on Sunday, November 18, 2012 at 11:47pm.

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

college algebra - Steve, Monday, November 19, 2012 at 9:54am
The RZT says that any rational root will be a factor of 22. So, the number of possibilities is quite limited:

ą1 ą2 ą11 ą22

A little synthetic division shows that

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

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