How do you simplify and divide #(x^4+x^2-3x+5)/(x^2+2)#?
1 Answer
Jun 18, 2017
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(x^2)(x^2+2)color(magenta)(-2x^2)+x^2-3x+5#
#=color(red)(x^2)(x^2+2)color(red)(-1)(x^2+2)color(magenta)(+2)-3x+5#
#=color(red)(x^2)(x^2+2)color(red)(-1)(x^2+2)+7-3x#
#rArr(x^4+x^2-3x+5)/(x^2+2)#
#=x^2-1+(7-3x)/(x^2+2)#
