Asked by brittany
The polynomial x 3 + 5x 2 -57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions? ( Hint: The height is greater than the depth.)
Answers
Answered by
Steve
the clue is that (x+3) divides the volume. So, a little checking shows that the volume
v = (x+3)(x-7)(x+9)
so, if x+3=15, x=12 and the box is 15x5x21
v = (x+3)(x-7)(x+9)
so, if x+3=15, x=12 and the box is 15x5x21
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