(x²-2x+7)/(x-4)

Question

algebra question

Answer 1

Hi Kodanda,

 

Use the remainder theorem to divide. You should get x+2 and a remainder of 15.

The remainder of 15 is the value of the second degree polynomial in the numerator at x=4.

Answer 2

x² - 21 +7

    x + 4

 

use long division:

 

        x  - 6 + 31/(x+4)                    

x+4| x² - 2x +7            x goes into x² , x times. Multiply x times x+4 and subtract from original equation

       -x² - 4x

        _____________

  

             -6x + 7          x goes into -6x, -6 times. Multiply -6 times x+4 and subtract from current equation

            +6x +24  

      ___________

                    31          31 is the remainder or 31/(x+4)

 

 

Answer: x - 6 + 31

                         x+4