SOLUTION: Hello, can you please help me divide this problem using long division? I don't understand how to do it. (y^4+a^2)/(y+a)

Question 853104: Hello, can you please help me divide this problem using long division? I don't understand how to do it.
(y^4+a^2)/(y+a)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Express the numerator as . That is like expanded form for powers of y. Everything else is just the same as you would do for long division of decimal numbers. Expect, for your example, a few very lengthy, messy steps within the process.

y+a_____|___y^3__________________________________This is the quotient line(unfinished)
________|______________________________________
________|___y^4___0*y^3____0*y^2____0*y_____a^2
____________y^4___ay^3
________________________
_____________0___-ay^3

Next, ask yourself, how many times does y go into ?...

Much easier to do all of this process on paper than to try to type in so much text.

----------------------------------------------------------
Just to take the process two more partial quotients,

y+a_____|___y^3___-ay^2____a^2*y________________________This is the quotient line(unfinished)
________|______________________________________
________|___y^4___0*y^3____0*y^2____0*y_____a^2
____________y^4___ay^3
________________________
_____________0___-ay^3____
_________________-ay^3____-a^2y^2
__________________________________
_________________0________a^2y^2
__________________________a^2y^2___a^3*y

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