The polynomial 2x3 + 9x2 + 4x - 15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. the depth of the tank is (x – 1) feet. the length is 13 feet.

Step-by-step explanation:

The polynomial represents the volume in cubic feet of a rectangular holding tank at a fish hatchery

Use synthetic division to find the expressions representing the other sides of the tank

x-1=0 , add 1 on both sides

x=1, write all the coefficients and then divide by 1

In synthetic division, drop the first number

then multiply it with 1 and write it below the second number.

Add it and do the same

1           2      9       4         -15

            0      2       11         15                

           -------------------------------------

           2        11       15       0

Remainder is 0

Frame expression using the numbers 2   11 and 15

product is 2 times 15 = 30

sum is 11

6 times 5 is 30 , 6 plus 5 is 11

      , take out GCF from each group