A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in
volume, weighs 100 pounds, and earns $14 for the driver. Each crate of cargo B is 2 cubic feet in volume, weighs 250 pounds, and earns $9 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal to twice the number of crates of cargo A.
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A B Truck capacity
Volume
weight
Earning
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A B Truck capacity
Volume
weight
Earning
1 answer:
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If is a factor of the polynomial, it means that
is a root of the polynomial.
In fact, if a polynomial has a root
(i.e.
), then the polynomial is divisible by
In your case, you know that the polynomial is divisible by , so
is a solution.
Let's evaluate and set it to zero:
We can check the answer: if the polynomial becomes
And we're claiming that is a root of this polynomial: