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CBSE Class 10 Answered

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Can you explain relationship between zeros and coefficients of a cubic polynomial?
Asked by kamleshsingh826 | 27 May, 2016, 07:54: PM
answered-by-expert 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 satyajit samal | 29 May, 2016, 05:08: PM

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