Archive
9th of September 2015
Mathematics
Q:

if one of the zeroes of cubic polynomial ax3 + bx2 + cx + d is 0, then find the product of other two zeroes.

Nisha_vini29 - CBSE - Class X

Monday, September 07, 2015 at 21:53:PM

A:

C o n s i d e r space t h e space g i v e n space c u b i c space e q u a t i o n comma space a x cubed plus b x squared plus c x plus d equals 0 S i n c e space 0 space i s space o n e space o f space t h e space z e r o s space o f space t h e space a b o v e space p o l y n o m i a l comma space w e space h a v e comma space a cross times 0 cubed plus b cross times 0 squared plus c cross times 0 plus d equals 0 rightwards double arrow d equals 0 T h u s comma space t h e space e q u a t i o n space o f space t h e space c u b i c space p o l y n o m i a l space i s space a x cubed plus b x squared plus c x equals 0 L e t space alpha comma beta space a n d space gamma space a r e space t h e space r o o t s space o f space t h e space e q u a t i o n T h e r e f o r e comma space s u m space o f space t h e space r o o t s alpha plus beta plus gamma equals fraction numerator negative b over denominator a end fraction A n d alpha beta plus beta gamma plus alpha gamma equals c over a A n d space alpha beta gamma equals d over a S i n c e space alpha beta plus beta gamma plus alpha gamma equals c over a space a n d space gamma equals 0 comma space w e space h a v e comma alpha beta equals c over a T h u s comma space t h e space p r o d u c t space o f space o t h e r space t w o space z e r o e s space i s space alpha beta equals c over a

Wednesday, September 09, 2015 at 18:08:PM