SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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       Log On


   



Question 1156352: 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let p(x) = x^3 - 7x + 6
try x=-3
:
we have to put a 0 in x^2 slot here
"
. . ._______________
-3 |1 + 0 - 7 + 6
. . . . . - 3 + 9 - 6
. . . ----------------
. . . . 1 - 3 + 2 + 0
:
So we have factors (x^2 - 3x + 2)(x + 3)
further factored (x - 2)(x - 1)(x + 3)
The zeros of x: 2, 1, -3
:
GRAPHICALLY
+graph%28+300%2C+200%2C+-6%2C+5%2C+-8%2C+15%2C+x%5E3-7x%2B6%29+