Simplify : (2x3 – 3x2 – 8) – ( – 5x3 –2x2 + 7x2 – 3)​

Step-by-step explanation:

(2*3-3*2-8)-(-5*3-2*2+7*2-3)

(6-6-8)-(-15-4+14-3)

(12-8)-(-15-18-3)

4-33-3

37-3

34

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.