SOLUTION: Using Descartes Rule of Signs, determine the number of possible positive real roots of the polynomial 3x4 + 5x3 + 8x2 - 7x + 2.
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Question 90447: Using Descartes Rule of Signs, determine the number of possible positive real roots of the polynomial 3x4 + 5x3 + 8x2 - 7x + 2.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x) = 3x4 + 5x3 + 8x2 - 7x + 2
(+) (+) (+) (-) (+) ~> 2 sign changes
Pos: 2
Neg: ~
Img: ~
f(-x) = 3x4 - 5x3 + 8x2 + 7x + 2
(+) (-) (+) (+) (+) ~> 2 sign changes
Pos: 2 . 2 . 0 . 0
Neg: 2 . 0 . 2 . 0
Img: 0 . 2 . 2 . 4
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