Divide the following polynomials using the long division model:

Question

(4x^4-5x^3+2x^2-x+5)/(x^2+x+1) please show me how to do the work too. Thanks!

 

 

Answer 1

Long division model :

x² + x + 1) 4x⁴ - 5x³ + 2x² - x + 5 ( 4x² - 9x + 7

                 4x⁴ + 4x³ + 4x²

            ( - )______________________

                       - 9x³ - 2x² - x + 5

                        - 9x³ - 9x² - 9x

                      ( - )___________________

                                7x² + 8x + 5

                                7x² + 7x + 7

                          ( - )___________________

                                        x - 2

Therefore, the remainder is (x - 2) and quotient is 4x² - 9x + 7.