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44

Step-by-step Answer
PAGE: 395SET: ExercisesPROBLEM: 44
Please look in your text book for this problem Statement

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:

The depressed polynomial is .

The depressed polynomial is .

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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