Afalcon flying at a height of 200 yards spots a sparrow flying at a height of 150 yards. the location of the sparrow makes an angle of 40° from the horizontal line through the falcon's location. what is the distance x between the falcon and the sparrow? assume that the ground beneath the birds is level. 43 yards 60 yards 65 yards 78 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."