Question

For the polynomial x^4 + 3x^3 - 8x^2 + 2x - 9 = 0
a. Find the number of possible positive and negative real zeros for the function.

b.List all possible rational roots.

Answer 1

++-+- 3 or 1 positive
+---- 1 Negative
+/- 1, +/-3, +/- 9

You tell me where that came from.

Answer 2

but how did you get only a few roots i got sooo many look,p/q = +- 1/1, +-1/2, +- 1/4, +- 1/6, +- 1/8, +-2/1, +- 3/2, +- 3/4, +- 3/8, +- 6/1, +- 6/4, +- 9/1, +- 9/2, +- 9/4, +- 9/8

Answer 3

That is an excellent question. Only the leading coefficient and the constant term are significant. Your leading coefficient is one (1), so there are no possible non-integer solutions. They MUST be FACTORS of 9. 1, 3, 9. That's it.

Answer 4

ohhh got you

Answer 5

You're okay counting the sign changes?

Answer 6

yea

Answer 7

Sweet. Good work.

Answer 8

uhmm i'm stuck lol

Answer 9

On another one or on this one?