Answer:
Quotient: [tex]x^3+x^2+5x+4[/tex]
Remainder: 2
Step-by-step explanation:
To divide [tex]x^4-x^3+3x^2-6x-6[/tex] by [tex](x-2)[/tex] by synthetic division, we write out the coefficients as shown below;
1 -1 3 -6 -6
2| 2 2 10 8
1 1 5 4 2
The quotient is [tex]x^3+x^2+5x+4[/tex]
The remainder is 2
