Question 875242: 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.)
A.
height: 19 in.
depth: 5 in.
B.
height: 21 in.
depth: 5 in.
C.
height: 19 in.
depth: 7 in.
D.
height: 21 in.
depth: 7 in.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
x^3 + 5x^2 -57x -189 = 0 (x+3) a factor, x = -3, a root
Using Synthetic Division
-3 1 5 -57 -189
-3 -6 189
1 2 -63 0
x^2 + 2x - 63 = 0
(x + 9)(x-7) = 0
(x+9)and (x+7)the height and depth(height greater than depth)
(x+3)= 15 , x = 12
the height = (x+9) = 21, depth is (x-7) = 5
B.
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