Question 1080612: https://www.usatestprep.com/modules/gallery/files/34/3402/3402.png
The graph of the function f(x) = x3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown.
Which expression is equivalent to x3 – 7x – 6?
A) (x – 1)(x – 2)(x – 3)
B) (x – 1)(x + 2)(x – 3)
C) (x + 1)(x – 2)(x – 3)
D) (x + 1)(x + 2)(x – 3)
Found 2 solutions by Boreal, Theo:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! From the roots, it is minus each of the x values above.
f(x)=(x+2)(x+1)(x-3)
D.
Checks with x^3-7x-6.
One can multiply it out, too, but the roots give the factors directly.
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! if the zeros are (-2,0), (-1,0), and (3,0), then the factors are (x+2) * (x+1) * (x-3)
that would be selection D.
if you graphed x^3 - 7x - 6 and you graphed (x+2) * (x+1) * (x-3), the graph of those two equations would be coincident and look like one graph rather than 2.
here's the graph:
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