SOLUTION: Find the zeros of the polynomial function and state the multiplicity of each. f(x)=6x^3-x^2-24x+4

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Question 1037197: Find the zeros of the polynomial function and state the multiplicity of each.
f(x)=6x^3-x^2-24x+4
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You would make a list of several possible roots to try testing for through synthetic division, but you should find that -2 and +2 are roots (or "zeros") for your function, meaning the remainders in their use in synthetic division is 0. That would then leave only one more real root to find, which should be simpler after finding the -2 and +2. Your quotient after finding the two roots here will all but finish the work.

Testing of the possible root, 1%2F6 using synthetic division should also give remainder of 0. Try that and see (or use polynomial division if you do not yet know how to do synthetic division).