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 are-
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.
Please help me!!!!

Question

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 are-
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.
Please help me!!!!

cwrw238 · Answer

first divide the polynomial by x + 3 by long or synthetic division

and then try and factor the quotient

the using x + 3 = 15 you can find x and the rest of the dimensions

cwrw238 · Answer

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