How do you divide #\frac { x ^ { 2} + 14x + 9} { x ^ { 2} + 2x + 3}#?
1 Answer
Jul 20, 2017
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(1)(x^2+2x+3)color(magenta)(-2x-3)+14x+9#
#=color(red)(1)(x^2+2x+3)+12x+6#
#"quotient "=color(red)(1)," remainder "=12x+6#
#rArr(x^2+14x+9)/(x^2+2x+3)=1+(12x+6)/(x^2+2x+3)#