QUESTION: x^4-2x^3+12x^2-1 divided by x+5 the reminder is
Doing a long division of x^4-2x^3+12x^2-1 by x+5,
x^3 - 7x^2 - 47x - 235
x+5 )x^4 - 2x^3 + 12x^2 - 1
x^4 + 5x^3
-7x^3 + 12x^2
-7x^3 - 35x^2
47x^2
47x^2 + 235x
-235 x - 1
-235x - 1175
1174
So division of x^4 - 2x^3 + 12x^2 - 1 by x+5 gives a quotient of x^3 - 7x^2 + 47x - 235 and a remainder of 1174