Abox has a square base with side length x inches and its height is 9 inches more than the length of the base.
write a polynomial in standard form giving the volume of the box.

  V = x³ +9x²

Step-by-step explanation:

The volume is the product of the area of the base, and the height:

  V = Bh

When the base is a square of dimension x, then its area is ...

  B = x²

When the height is 9 inches more than the base length, it is ...

  h = x +9

So, the volume is ...

  V = (x²)(x +9)

  V = x³ +9x² . . . . . cubic inches

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.