Simplify. (-24x^3+18x+6) divided by (6x+3) a. -4x^2+2x-2 b. 4x^2-2x+2 c. 4x^2+2x-2 d. -4x^2+2x+2

It's d. -4x^2 + 2x + 2.

Step-by-step explanation:

            -4x^2 + 2x + 2.

6x + 3 )-24x^3 + 0x^2 + 18x + 6

            -24x^3 - 12x^2

                            12x^2 + 18x

                            12x^2  + 6x

                                           12x + 6

                                           12x + 6

look a the sides they are perpendicular

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.