How do you divide #(d ^ { 2} - 5d + 8) \div ( d - 3)#?
1 Answer
Jun 4, 2017
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(d)(d-3)color(magenta)(+3d)-5d+8#
#=color(red)(d)(d-3)color(red)(-2)(d-3)color(magenta)(-6)+8#
#=color(red)(d)(d-3)color(red)(-2)(d-3)+2#
#"quotient "=color(red)(d-2)," remainder "=2#
#rArr(d^2-5d+8)/(d-3)=d-2+2/(d-3)#
