Question 430142
this looks like a straight polynomial division type of problem.


you are dividing a-5 into a^2 - 21


divide a into a^2 to get a


multiply a-5 by a to get a^2 - 5a


subtract a^2 - 5a from a^2 - 21 to get 5a - 21


divide a into 5a to get 5


multiply a-5 by 5 to get 5a - 25


subtract 5a - 25 from 5a - 21 to get + 4


your answer is a + 5 with a remainder of 4.


a + 5 is the quotient.


4 is the remainder.


if you multiply a - 5 by a + 5, you will get a^2 - 25.


if you then add the remainder of 4 into it, you will get a^2 - 21.


this looks to me like it is straight polynomial division.


if you are unfamiliar with how to do polynomial division, let me know and i will send you instructions.