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Polynomial Rational Function Zeros Calculation

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1.LIST THE ZERO OF THE CUBIC FUNCTION AND TELL WHICH, IF ANY, ARE DOUBLE OR TRIPLE ZEROS y = x squared (x-1)
2. USE THE RATIONAL ZERO THEOREM TO FIND ALL POSSIBLE RATIONAL ZEROS OF THE POLYNOMIAL: g(x) = -3x cubic -8x squared +x+ 14

3.USE SYNTHETIC DIVISION TO FIND UPPER AND LOWER BOUNDS OF THE REAL ZEROS OF f. f(x) = x fifth + x fourth -5x cubic -3x squared +3x -3
ANSWER: UPPER:__________ LOWER:_________

4. FIND ALL RELATIVE EXTREMA OF THE FUNCTION: f(x) = -2x cubic + x fourth
answer: relative max:____________ relative mini:____________

5.FIND ALL REAL ZEROS OF THE FUNCTION: f(x) = x fourth-7x squared +6

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Solution Summary

The expert examines polynomial rational function zero calculations.

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I could not do the 3rd problem out of 5. Hope some other OTA can help. Please see attached file.

1. LIST THE ZERO OF THE CUBIC FUNCTION AND TELL WHICH, IF ANY, ARE DOUBLE OR TRIPLE ZEROS y = x squared (x-1)
y = x2(x-1)
Zeros are obtained when you set y = 0.
Thus, the zeros are: 0 (double), 1

2. USE THE RATIONAL ZERO THEOREM TO FIND ...

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