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PAGE: 395 | SET: Exercises | PROBLEM: 44 |

The function is .
If is a rational zero, then
is a factor of
and
is a factor of
.
Here, and
.
Write the possible value of in simplest form.
and
.
Make a table and test some possible rational zeroes:
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The depressed polynomial is .
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The depressed polynomial is .
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Observe the table:
Since , there is a zero at
.
The depressed polynomial is .
The quadratic function is .
(Quadratic formula)
(Substitute
and
)
(Simplify)
(Add and simplify)
and
(Separate two roots)
and
(Simplify)
There is five real roots are ,
,
,
and
.
The zeroes of the function are and
.

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