Can someone please help me a) verify the given factors of the function f, b) find the remaining factors of f, c) use your results to write the complete factorization of f, d) list all real zeros of f, and e) confirm your results by using a graphing utility to graph the function.

Function: f(x)=3x^3+2x^2-19x+6
Factors: (x+3), (x-2)

Question

Can someone please help me a) verify the given factors of the function f, b) find the remaining factors of f, c) use your results to write the complete factorization of f, d) list all real zeros of f, and e) confirm your results by using a graphing utility to graph the function. 

Function: f(x)=3x^3+2x^2-19x+6
Factors: (x+3), (x-2)

anonymous · Answer

Use the factor theorem for the 1st. the 2nd is 3x-1. 3rd (x+3) (x-2)(3x-1). 4th  is -4,2 and 1/3

anonymous · Answer

sorry -3,2 and 1/3 for the 4th

anonymous · Answer

@azetina can you pls tell me how you got those numbers? :)

anonymous · Answer

Do you still need the explanation?