A)a 15-year old girl charged with shoplifting.

eliminate

b)a 19-year old man charged with assault. c)a 21-year old woman charged with fraud. d)a 25-year old man charged with speeding

The answer is A.

15 year-old girl with shoplifting

gaddgad

step-by-step explanation:

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."