DeadShot
  • DeadShot
What are the possible number of positive, negative, and complex zeros of f(x) = 3x^4 - 5x^3 - x^2 - 8x + 4 ?
Algebra
chestercat
  • chestercat
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.Sam.
  • .Sam.
Well, if they just want the number of roots, then it will be a total of 4 , 2 complex, 2 reals
DeadShot
  • DeadShot
My teacher wants the possible number of positive real, negative real, and complex. Knowing that there are 2 complex zeroes narrows down the answer.
DeadShot
  • DeadShot
Is the number of positive real 3 or 1 and the negative 1, or is it vice versa?

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.Sam.
  • .Sam.
Then apply Descartes' Rule, have you learn that before?
.Sam.
  • .Sam.
I have to go now, there's a tutorial on that here: http://www.purplemath.com/modules/drofsign.htm Try it out :)
DeadShot
  • DeadShot
Ok
DeadShot
  • DeadShot
Got it! Thanks!

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