Question 233477
x^2 - 6x - 27 divided by x + 3


divide x into x^2 to get x ***** first part of your answer.


multiply x * (x+3) to get x^2 + 3x


subtract x^2 + 3x from x^2 - 6x to get -9x


carry down the -27 to get -9x - 27


divide x into -9x to get -9 ***** second part of your answer.


multiply -9 * (x+3) to get -9x - 27


subtract -9x - 27 from -9x - 27 to get 0.


your answer is:


x^2 - 6x - 27 divided by x + 3 = x - 9


This means that:


(x+3) * (x-9) = x^2 - 6x - 27


multiplying those factors out gets:


x^2 - 9x + 3x - 27 which becomes x^2 - 6x - 27 which is correct.


your answer is x - 9