How do you divide #(v ^ { 2} - 5v - 50) -: ( v + 3)#?

1 Answer
Jun 30, 2017

#v-8-26/(v+3)#

Explanation:

#"one way is to use the divisor as a factor in the numerator"#

#"consider the numerator"#

#color(red)(v)(v+3)color(magenta)(-3v)-5v-50#

#=color(red)(v)(v+3)color(red)(-8)(v+3)color(magenta)(+24)-50#

#=color(red)(v)(v+3)color(red)(-8)(v+3)-26#

#"quotient " =color(red)(v-8)," remainder "=-26#

#rArr(v^2-5v-50)/(v+3)=v-8-26/(v+3)#