SOLUTION: Find all the rational zeros of the function f(x)=36x^4+66 x^3-18x^2-12x

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Question 843092: Find all the rational zeros of the function
f(x)=36x^4+66 x^3-18x^2-12x
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
36x%5E4%2B66+x%5E3-18x%5E2-12x=x%286x%5E3%2B11x%5E2-3x-2%29
36x%5E4%2B66+x%5E3-18x%5E2-12x=x%28x%2B2%29%282x-1%29%283x%2B1%29
.
.
.
x=0
and
x%2B2=0
x=-2
and
2x-1=0
2x=1
x=1%2F2
and
3x%2B1=0
3x=-1
x=-1%2F3
.
.
.
graph%28300%2C300%2C-3%2C3%2C-50%2C50%2C6%2Ax%2A%28x%2B2%29%2A%282x-1%29%2A%283x%2B1%29%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)= 36x^4+66x^3-18x^2-12x = x(x-.5)(x+2)(x+ 1/3)

x is -2, -1/3, 0, .5