SOLUTION: Find the quotient and remaineder when dividing {{{ x^4 -3x^2 +5x -8 }}} by {{{ x^2 +1 }}} I can't decide whether I am supposed to use long division (the two number divisor), or

Question 290091: Find the quotient and remaineder when dividing by
I can't decide whether I am supposed to use long division (the two number divisor), or synthetic (the missing power). If using long, I am having a little trouble with the power divided by another power (the first part).

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
It doesn't matter which method you use.
x^2 goes into x^4 --x^2 times
because x^2*x^2=x^4
quotient is x^2-4 with a remainder of 5x-4
so it is x^2-4+(5x-4)/(x^+1)
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