x^4-2x^3+12x^2-1 divided by x+5 the reminder is

Question

Please solve this equation with solution

Answer 1

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