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

Algebra ->  Divisibility and Prime Numbers -> 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       Log On


   



Question 290091: Find the quotient and remaineder when dividing +x%5E4+-3x%5E2+%2B5x+-8+ by +x%5E2+%2B1+
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) About Me  (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)