math

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.)

  1. 👍 0
  2. 👎 0
  3. 👁 182
  1. 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

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. polynomial/synthetic or long division

    If the polynomial x^3+6x^2+11x+6 expresses the volume, in cubic inches, of the box, and the width is (x+1)in., what are the dimensions of the box? I need to answer the question in long dvision or synthetic division, the thing is i

    asked by ThomasTheTrain on November 6, 2015
  2. math 2

    max packs cereal boxes into a larger box the volume of each cereal box is 175 cubic inches. which is the best estimate for the volume of the large box? would the answer be it be 210 cubic inches, 420 cubic inches, 2,100 cubic

    asked by kimmy plus on March 6, 2014
  3. DIAMETER

    What is the approximate volume of this sphere, which has a diameter of 18 inches? A 339 cubic inches B 1,356 cubic inches C 3,052 cubic inches D 24,417 cubic inches PLZ EXPLAIN THE PROCESS

    asked by Anonymous on April 15, 2015
  4. Algebra

    The cone shown has a height of 5 inches and a radius of 1.5 inches. What is the approximate volume of the cone? A. Between 11 and 12 cubic inches B. Between 15 and 16 cubic inches C. Between 35 and 36 cubic inches D. Between 39

    asked by E on March 1, 2019
  5. Algebra 1 check answers

    A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h. 2121.6 cubic inches (in3) 176.8 cubic inches (in3)*** 14.7 cubic inches

    asked by Summer Moriarty on August 26, 2016
  1. math

    Xenia wants to stuff a cube-shaped footstool that measures 10.25 inches on all edges. What is a good estimate of the number of cubic inches of foam peanuts that she will need? a. just over 1,331 cubic inches b. just over 1,000

    asked by peter on March 11, 2012
  2. Math

    The surface area of a cube is 384 square inches. What is the volume of the cube???? A. 8 cubic inces B. 16 cubic inches C. 256 cubic inches D. 512 cubic inches

    asked by Sky on April 22, 2011
  3. math

    A rectangular box has a volume of $4320$ cubic inches and a surface area of $1704$ square inches. The sum of the lengths of its $12$ edges is $208$ inches. What would be the volume of the box, in cubic inches, if its length, width

    asked by Brendan Zankowski on August 14, 2019
  4. math

    A rectangular box has a volume of $4320$ cubic inches and a surface area of $1704$ square inches. The sum of the lengths of its $12$ edges is $208$ inches. What would be the volume of the box, in cubic inches, if its length, width

    asked by Brendan Zankowski on August 14, 2019
  5. math

    A rectangular box has a volume of $4320$ cubic inches and a surface area of $1704$ square inches. The sum of the lengths of its $12$ edges is $208$ inches. What would be the volume of the box, in cubic inches, if its length, width

    asked by Brendan Zankowski on August 14, 2019

More Similar Questions