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."