How do you divide #(x ^ { 2} + 10x + 20) \div ( x + 7)#?
1 Answer
Jul 11, 2018
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(x)(x+7)color(magenta)(-7x)+10x+20#
#=color(red)(x)(x+7)color(red)(+3)(x+7)color(magenta)(-21)+20#
#=color(red)(x)(x+7)color(red)(+3)(x+7)-1#
#"quotient "=color(red)(x+3)," remainder "=-1#
#(x^2+10x+20)/(x+7)=x+3-1/(x+7)#
