Question

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Answer 1

Factor it first

Answer 2

find the possible rational roots by taking p/q where p is any integral factor of -4 and q is any integral factor of 3.
for clarification: +/- means plus or minus
thus the possible rational roots are, +/-1,+/-2,+/-4,+/-(1/3),+/-(2/3),+/-(4/3…

now determine the number of positive and negative real roots.This is done by the following method.
1. count the number of sign changes in the function. this is the number of positive real roots or less than it by an even number.
2. count the number of sign changes in the function when you plug in -x for x and simplify. this is the number of negative real roots or less than it by an even number.

positive real roots:
there is 1 sign change between x and -4, therefore there is 1 positive real root (though not necessarily rational)
negative real roots:
the new function is:
3(-x)^3+2(-x)^2+(-x)-4
-3x^3+2x^2-x-4
there are two sign changes. one between -3x^3 and 2x^2 and another between 2x^2 and -x.
therefore there are 2 or 0 negative real roots (again not necessarily rational).

armed with this information use synthetic division to determine the roots.

Answer 3

@schwag1 can u factor it?

Answer 4

yeah

Answer 5

but i just confused..on what the correct answer would turn out :/

Answer 6

im*

Answer 7

u must use rational root theorem
http://en.wikipedia.org/wiki/Rational_root_theorem