Alexander F. answered • 07/03/14

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Looks like this problem wants you to find bounds (between which x-values) you can find "all possible" zeros. Two simple steps

1. Use the rational root test to find possible zeros.

Possible zeros: x = +/-1, +/-2, +/-3, +/-6

2. Determine from the possible zeros which two x-values are the highest positive and highest negative value. All possible zeros will fall within this "domain" of x-values. In this case, -6 and +6 are the most negative and most positive values, so the upper and lower bounds are (answer expressed in interval notation):

[-6, 6]

The brackets are closed because -6 and 6 could possibly be zeros to the function.

Hope this was insightful :)

Alex

Michael F.

07/05/14