Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Sir
Can you explain relationship between zeros and coefficients of a cubic polynomial?

Asked by kamleshsingh826 27th May 2016, 7:54 PM
Answered by Expert
Answer:
L e t space a space g e n e r a l space c u b i c space p o l y n o m i a l space i n space i t s space s tan d a r d space f o r m space b e
a x cubed plus b x squared plus c x plus d
S u p p o s e comma space alpha comma beta space a n d space gamma space a r e space t h e space z e r o e s space o f space t h i s space c u b i c space p o l y n o m i a l.
T h e n
alpha plus beta plus gamma equals negative b over a
alpha beta plus beta gamma plus gamma alpha equals c over a
alpha beta gamma equals negative d over a
T h e space d e n o m i n a t o r space o n space t h e space r i g h t space h a n d space s i d e space i s space a l w a y s space apostrophe a apostrophe comma
w h i c h space i s space t h e space c o e f f i c i e n t space o f space x cubed
T h e space n u m e r a t o r s space a r e space b comma space c space a n d space d space r e s p e c t i v e l y.
T h e space r i g h t space h a n d space s i d e space h a s space n e g a t i v e space a n d space p o s i t i v e space s i g n s space a l t e r n a t e l y.
Answered by Expert 29th May 2016, 5:08 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!