0

Guest

Courses New

if x^3+px+r and 3x^2+p have a common factor, then p^3/27+r^2/4=0

if x^3+px+r and 3x^2+p have a common factor, then p^3/27+r^2/4=0

Grade:8

1 Answers

Arun
25750 Points
5 years ago
 
Let x-a is the common factor.
Then putting X=a we get a^2= -p/3 from 2nd equn
Then 
Putting X=a in 1st eqn we get
a^3+pa+r=0
a(a^2+p)+r=0
a(-p/3+p)+r=0
a= - 3r/2p
 
Now put this value of a to the 1st eqn.
r^2/4 + p^3/27=0
 
Regards
Arun

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More