The volume of a refrigerator is x^3-3x^2-16x-12.It's the height x+2.What are the other two dimensions?

the other two dimensions are (x + 1) and  (x - 6)

Step-by-step explanation:

Given;

Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12

factor of the function as height of the refrigerator, = x + 2

Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;

                           x²  - 5x - 6

            x + 2  √ x³ - 3x²- 16x - 12

                      -  (x³  + 2x²)

                                 -5x² - 16x - 12

                              -  (-5x² - 10x)

                                           -6x - 12

                                         - (-6x - 12)

                                                 0

Factorize the quotient ( x²  - 5x - 6);

x²  - 5x - 6 =   x²  + x  -6x - 6

                  =   x (x + 1) - 6( x + 1)

                  = (x + 1) (x - 6)

Thus, the other two dimensions are (x + 1) and  (x - 6)