SOLUTION: Find all rational zeros and factor f(x). f(x)=12x^3+73x^2+5x-6

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Question 45552: Find all rational zeros and factor f(x).
f(x)=12x^3+73x^2+5x-6
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
a = 1,2,3,6
b = 1,2,3,4,6,12
+- a/b
+- 1, 2, 3, 6, 1/2, 3/2, 1/3, 2/3, 1/4, 6/4, 1/6, 1/12
Pos: 1 1
Neg: 2 0
(i): 0 2
There is definitly one positive root.
+graph%28600%2C600%2C-7%2C3%2C-20%2C20%2C12x%5E3+%2B+73x%5E2+%2B+5x+-+6%29+
(12x^2 + x - 1)(x + 6)
((12x^2 + 4x) + (-3x - 1))(x + 6)
(4x(3x + 1) - 1(3x + 1))(x + 6)
(4x - 1)(3x + 1)(x + 6)
Roots: -6, -1/3, 1/4