Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25
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To perform this check, you must use the following theorem: is a lower bound for the zeroes of
if, when divide
by
, the quotient and the remainter alternate signs.
Since the long division yields the result
You can see that the signs don't alternate (the last two terms are positive). So, -1 is not a lower bound.
In fact, the actual roots of the polynomial are -3, -2, 1, 3, so as you can see there are roots smaller than -1.