SOLUTION: please help me solve a^2-21/a-5

Question 430142: please help me solve
a^2-21/a-5
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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