This is an test question if you a 11 or 12th grade i need
what is the quotient when (x + 3) is divided into the polynomial 2x2 + 3x - 9?
a. x + 3 with a remainder of -2
b. 2x - 3 with no remainder
c. 2x + 1 with no remainder
d. 2x - 5 with no remainde

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.