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Polynomial Rational Function Zeros Calculation

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November 5th, 2022

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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