How do you divide #(x^2 - 5x + 4)/( x-2)#?
1 Answer
May 23, 2017
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(x)(x-2)color(magenta)(+2x)-5x+4#
#=color(red)(x)(x-2)color(red)(-3)(x-2)color(magenta)(-6)+4#
#=color(red)(x)(x-2)color(red)(-3)(x-2)-2#
#"quotient " =color(red)(x-3)," remainder "= -2#
#rArr(x^2-5x+4)/(x-2)=x-3-2/(x-2)#
