SOLUTION: it is given that 1 is one of the zeroes of the polynomial 7x - xcube -6.find it others zeroes

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Question 1082019: it is given that 1 is one of the zeroes of the polynomial 7x - xcube -6.find it others zeroes
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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it is given that 1 is one of the zeroes of the polynomial 7x - xcube -6.find it others zeroes
write it
f(x) = -x^3 + 0x^2 + 7x - 6
:
Use synthetic division
...._________________
1 | -1 + 0 + 7 - 6
...........-1 - 1 + 6
....----------------
.....-1 - 1 + 6 + 0
So we have
y = -x^2 - x + 6
multiply by -1
y = x^2 + x - 6
Factors to
(x + 3)(x - 2) = 0
The zeros for this equation: -3, 1, 2