Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z) a). [8x+4y+(-8z^2)]+3z+(-5z) b). 8x+4y+[3z+(-8z^2)+(-5z)] c). [8x+(-8z^2)]+4y+[3z+(-5z)] d). 8x+4y+(-8z^2)+[3z+(-5z)]

we are given

we can group x-terms with x and y-terms with y and z terms with z

so, we get

we can make groups

we can also write it as

so, option-D.........Answer

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.