SOLUTION: The function f is defined by {{{f(x)=3x^3-2x^2+cx}}}, where c is a constant. The graph of f has three x-intercepts in the xy-plane.They are the points{{{(-1/3.0)}}}, (1,0),and(p,0)

Question 1041286: The function f is defined by , where c is a constant. The graph of f has three x-intercepts in the xy-plane.They are the points, (1,0),and(p,0).What is the value of p?
A)1
B)
C)
D)0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Factor out the GCF x
Replace f(x) with 0
Flip the equation

Since , this means that or

Since one root is , this means that one x-intercept is the ordered pair (x,y) = (0,0)

The only thing that comes close to that is (p,0) which is listed above.

(p,0) = (0,0)
means p = 0

So the final answer is choice D) 0

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