SOLUTION: It is given that 1 is one of the zeroes of the polynomial 7x-x cube - 6. Find its other zeroes

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Question 977241: It is given that 1 is one of the zeroes of the polynomial 7x-x cube - 6. Find its other zeroes
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
7x-x%5E3-6

highlight_green%28-x%5E3%2B7x-6%29

Using synthetic division, the next factor to factorize should be
-x%5E2-x%2B6 or -%28x%5E2%2Bx-6%29.
Factorable into -%28x-2%29%28x%2B3%29.
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These resulting zeros are 2 and -3.