SOLUTION: Factor completely if polynomial is prime state this 6x^2+19x+10

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Question 593131: Factor completely if polynomial is prime state this
6x^2+19x+10
Answer by mathhelp@(10) About Me  (Show Source):
You can put this solution on YOUR website!
Wow, you have one nice math question here!
question: 6x^2+19x+10
1. You have to try to get rid of the six, however, that would cause a major problem since it makes everything into fractions, which is harder to solve.
2. Lets do the basic and easy way without problems
6x^2+19x+10
6x
x
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hmmm...this doesn't work out, right?
lets use the quadratic equation now
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
plug everything in
x+=+%28-19+%2B-+sqrt%28+19%5E2-4%2A6%2A10+%29%29%2F%282%2A6%29+
x+=+%28-19+%2B-+sqrt%28+361-240+%29%29%2F%2812%29+
x+=+%28-19+%2B-+sqrt%28121%29%29%2F%2812%29+
Now you have two answers:
-30/12 = -15/6 and -8/12 = -4/6 = -2/3
These two solutions do not exist, so the solution is impossible