The vultures football team made the following gains on four plays : 14 yards,-32 yards,3 yards, and -19 yards? what was the net change in the position of the vultures as a result of the four plays.

The sum of gains is

... (14 yd) + (-32 yd) + (3 yd) + (-19 yd)

... = (14 +3 -19 -32) yd . . . . . . it is often convenient to rearrange the numbers to facilitate mental arithmetic

... = (-2 -32) yd

... = -34 yd

The net change of position was -34 yards.

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."