SOLUTION: List the possible rational zeros the function f(x) = {{{3x^3-21x+18}}}? Describe and use one method (other than substitution) to determine if x=6 is a zero of f(x). Then find all r

Question 825384: List the possible rational zeros the function f(x) = ? Describe and use one method (other than substitution) to determine if x=6 is a zero of f(x). Then find all real zeros of the function.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Factor the definition.
.

Rational Roots Theorem might be best first choice to find the zeros of f(x). (Refer to your instructional material about Rational Roots Theorem and Synthetic Division.)

Use synthetic division to check the possible zeros of -1,-2,-3,-6,1, 2, 3, 6.
You must expect to find no more than three roots due to degree of the function;
the dividend for synthetic division must be because this is like accounting for all place-values in ordinary long division.

If remainder is zero, then you found a root or zero.

Do you need further help on this?
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