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What is the sum of all values of x that satisfy 3x^2 +15x +12 =0

The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above. Which of the following must be a factor of f(x)?

The functions f and g, defined by f(x)=15x^2 -15 and g(x)=-15x^2 +15 are graphed in the xy-plane above. The graphs of f and g intersect at the points (h,0) and (-h,0). What is the value of h?
If the function f has 4 distinct zeros, which of the following could represent the complete graph of f in the xy-plane?
\sqrt{3k^2 +9} -x =0

If k \textgreater 0 and x=6 in the equation above, what is the value of k?
For what value of x is the function below undefined?

f(x) = \dfrac{1}{(x+2)^2 + 2(x+2) +1}


 

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