.Name the theorem or postulate that lets you conclude a ΔABD = CBD with only one additional step.

AAS

SAS

ASA

none of the above

The criteria/postulate used to conclude the two triangles ABD and CBD congruent to each other is ~

because it has the two Angles equal to corresponding two angles of another triangle and a side equal to side of another triangle (Actually common side among them)

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."