r^3-24r-5 / r-5

Question

How to divide r^3-24r-5 / r-5 quickly with less steps ?

Thanks

Answer 1

well, you could guess
but it only took me a minute to do long division

r^2 + 5 r + 1

Answer 2

Thank you for your quick reply.

Can you please share the work ? Guess work in math could land up in wrong spot.

Answer 3

####### r^2 + 5 r + 1
#######_______________________
(r-5) | r^3 + 0 r^2 - 24 r - 5
####### r^3 - 5 r^2
#######_______________________
############# 5 r^2 - 24 r - 5
############# 5 r^2 - 25 r
############# ________________
#################### 1 r - 5
#################### 1 r - 5
#####################________
###################### R = 0

Answer 4

Thank you.

Answer 5

You are welcome.