Write the polynomial function that models the given situation. a rectangle has a length of 16 units and a width of 14 units. squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. express the volume v of the box as a polynomial function in terms of x.

Step-by-step explanation:

We are given that

Length of rectangle=16 units

Width of rectangle=14 units

We have to write a polynomial function for volume of the box when a square of side x cut from each corner of given box.

Length of new box=16-2x units

Width of new box= 14-2x units

Height of new box=x units

Volume of box=

Substitute the values then we get

Volume of new box=

Volume of new box=

Hence, the volume of the box as a polynomial function is given by