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| PAGE: 232 | SET: Exercises | PROBLEM: 61 |
The equation is 
.
Consider 
.
Rational zeros method:
Rational Root Theorem, if a rational number in simplest form 
is a root of the polynomial equation 
, then 
is a factor of 
and 
is a factor if 
.
If is a rational zero, then is a factor of 
and is a factor of 
.
The possible values of are 
.
The possible values for are 
.
So, 
.
, 
is not a zero of 
.
Consider 
.
Using synthetic division:
Since 
, 
is a zero of .
is a factor of .
The depressed polynomial is 
.
.
Consider 
.
.
The real solutions of are 
.
.
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