what are the zeros of the polynomial function f(x)=(x+3)(x-1)(x+5) .....Are they 3, -1, and 5???/
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OpenStudy (anonymous):
no they are -3,1, and -5
OpenStudy (anonymous):
-3,1,-5
OpenStudy (anonymous):
x =1,-5,-3
OpenStudy (anonymous):
THANK YOU YOU GUYS ROCK
OpenStudy (anonymous):
it is zero when you replace x by those numbers. for example if x is -3 you get
\[(-3+3)(-3-1)(-3+5)=0\]
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OpenStudy (anonymous):
Thanks for explaining !
OpenStudy (anonymous):
A zero is what you plug in to a variable to make the equation=0
so (-3+3), (-1+1) or (-5+5) would make that part of the equation=0, so when the rest of it is multiplied out it would still=0
OpenStudy (anonymous):
I have another one, f(x) = x^3 - x^2 - 6x?? What are the zeros for this??
OpenStudy (anonymous):
factor out an x first
OpenStudy (anonymous):
get
\[x(x^2-x-6)\] then factor further as
\[x(x-3)(x+2)\] so zeros are at
\[\{0,-2,3\}\]
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