Question 1156368: Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use synthetic division].
(b) Find the real zeros of p.
(c) Sketch the graph of p using a sign diagram
Answer by josgarithmetic(39613)   (Show Source):
You can put this solution on YOUR website! ------
-3, 1, 2 are the real, rational roots.
You would pick from among -3, -1, -6, -2, 1, 2, 3, 6 to test using synthetic division.
ACCORDING TO USING RATIONAL ROOTS THEOREM, YOU PICK FROM -3, -1, -6, -2, 1, 2, 3, 6 , AND CHECK USING SYNTHETIC DIVISION.
(c):
Check any value within each of the intervals for the signs:
 ;
PICK ANY VALUE IN EACH INTERVAL AND DETERMINE THE SIGN OF p(x). YOU DO THIS.
(the graph)
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