How do you divide #(x ^ { 2} - 9x + 25) \div ( x - 5)#?
1 Answer
Sep 13, 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)-9x+25#
#=color(red)(x)(x-5)color(red)(-4)(x-5)color(magenta)(-20)+25#
#=color(red)(x)(x-5)color(red)(-4)(x-5)+5#
#"quotient "=color(red)(x-4)," remainder "=5#
#rArr(x^2-9x+25)/(x-5)=x-4+5/(x-5)#
