if x^3+px+r and 3x^2+p have a common factor, then p^3/27+r^2/4=0
SHAMANTHAK REDDY , 5 Years ago
Grade 8
Algebra> if x^3+px+r and 3x^2+p have a common fact...
1 Answers
Arun
Last Activity: 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
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Algebra
Can we divide two vectors? If this is possible then how?
Algebra
1 Answer Available
Last Activity: 10 Month ago(s)
How do you write “the product of 18 and q” as an algebraic expression?
Algebra
1 Answer Available
Last Activity: 10 Month ago(s)
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
Algebra
0 Answer Available
Last Activity: 1 Year ago(s)