A) (x3 – 7x + 3 – x2) : (x – 3);

b) (2x4 – 3x3 – 3x2 – 2 + 6x) : (x2 – 2)

Step-by-step explanation:

X^2+2x-1

2X^2-3x+1

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."