Which of the following are properties of a perfect square trinomial? Select all that apply.
A. The second and third terms must be perfect squares.
B. Neither of the perfect squares can have a minus sign.
c. If the perfect square terms are A2 and B2 then the other term
must be 2 AB or -2AB.
D. None of the above is a property of a perfect square trinomial.

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.