what are the zeroes of the function f(x)= 3x^2+9x+6 / 3x+3
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OpenStudy (anonymous):
u just need to find zeroes of num
OpenStudy (anonymous):
\[(3x^2+9x+6)=(x+2)(3x+3)\] equating this to zero will give you zeroes
OpenStudy (anonymous):
would the zeroes be -2, -3?
OpenStudy (anonymous):
(x+2)(3x+3)=0
x=-2, -1, not sure tho :)
OpenStudy (anonymous):
im sorry i mean -2
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OpenStudy (anonymous):
Okay thank you!!
OpenStudy (anonymous):
yeah x=-2 and -1
OpenStudy (anonymous):
(:
OpenStudy (anonymous):
you need to leave the variable x by it'self
OpenStudy (anonymous):
okay thanks!
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hero (hero):
Erica when you factored the trinomial, you forgot to rewrite the fraction as
\[\frac{((x+2)(3x+3)}{(3x+3)}\]
Had you done that, you would have realized that \(\large\frac{(3x+3)}{(3x+3)}\) cancels leaving you with x + 2 only, which means we would only need the zero for (x+2) which is x = -2
hero (hero):
@erica.d
hero (hero):
Especially since x = -1 is undefined
OpenStudy (anonymous):
@Hero thanks !! i just thought about the factors because of what value of numerator will be zero, hence i will have zero of that function ...