How do you divide #(x ^ { 2} - 11x + 29) \div ( x + 5)#?
1 Answer
Apr 15, 2017
Explanation:
One way is to use the divisor as a factor in the numerator.
#"consider the numerator"#
#color(red)(x)(x+5)color(magenta)(-5x)-11x+29#
#=color(red)(x)(x+5)color(red)(-16)(x+5)color(magenta)(+80)+29#
#=color(red)(x)(x+5)color(red)(-16)(x+5)+109#
#"quotient is "color(red)(x-16)" and remainder " =109#
#rArr(x^2-11x+29)/(x+5)=x-16+109/(x+5)#
