Mathematics
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OpenStudy (anonymous):
What are the zeros of the function f(x) =3x^2-3x-6/3x-6
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OpenStudy (anonymous):
you mean f(0)?
OpenStudy (anonymous):
no f(x)
OpenStudy (lgbasallote):
the zeroes would be simply when f(x) = 0 then solve for the value of x
OpenStudy (lgbasallote):
\[\frac{3x^2 - 3x-6}{3x - 6} = 0\]
solve for x
OpenStudy (lgbasallote):
does that help? or do you need more help?
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OpenStudy (anonymous):
i need more help idont know how to solve that
OpenStudy (lgbasallote):
start by factoring out the numerator and denominator. what do you get?
OpenStudy (anonymous):
3x^2=0 right
OpenStudy (lgbasallote):
no
OpenStudy (lgbasallote):
you cannot cancel 3x-6 that easily
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OpenStudy (lgbasallote):
you factor it this way \[\frac{3(x^2 - x - 6)}{3(x-2)} = 0\]
got it?
OpenStudy (lgbasallote):
uhh wait that should be 2
OpenStudy (lgbasallote):
\[\frac{3(x^2 - x - 2)}{3(x-2)} = 0\]
OpenStudy (lgbasallote):
now what can you cancel?
OpenStudy (anonymous):
x-2 and 3
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OpenStudy (lgbasallote):
you cant cancel x-2
OpenStudy (lgbasallote):
when you have addition you cant cancel
OpenStudy (lgbasallote):
when you have x^2 - x - 2 and x - 2 you cant cancel x-2
OpenStudy (lgbasallote):
because there is x^2
OpenStudy (lgbasallote):
so 3 is the only thing that you can cancel \[\frac{x^2 - x - 2}{x-2} = 0\]
now factor out the numerator
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OpenStudy (anonymous):
idk im just trying to pass the class this is my last lesson so ill go with -1
OpenStudy (lgbasallote):
just factor out the numerator
OpenStudy (lgbasallote):
what is the factored form of x^2 - x -2
OpenStudy (lgbasallote):
you know how to factor right?