Question

The Quotient obtained when x4 + 11x3 – 44x2 + 76x + 48 is divided by x2 – 2x + 1 is​

Answer 1

x²-2x+1 ) x⁴+11x³-44x²+76x+48 ( x²+13x-19

              x⁴-2x³+x²

            ⠀-⠀⠀+⠀⠀-

           ___________

          13x³-45x²+76x

          13x³-26x²+13x

           -⠀⠀⠀+⠀⠀⠀-

         _______________

         ⠀-19x²+63x+48

         ⠀-19x²-38x-19

         ⠀+⠀⠀⠀+⠀⠀+

          ________________

             101x + 67

Quotient= (x²+13x-19 )

Remainder= (101x+67 )

Ans :-  Quotient= (x²+13x-19 ),  Remainder= (101x+67 )

#SPJ3