Hello sir. I am a bit confused. We were doing polynomials and this question came to my mind.I want to know why polynomials are denoted by f(x). can you please explain.

Asked by rdbharti2008 | 18th Mar, 2015, 07:41: PM

Expert Answer:

P o l y n o m i a l s space a r e space a l g e b r a i c space e x p r e s s i o n s space c o n s i s t i n g space o f space v a r i a b l e s space a n d space c o n s tan t s comma space t h a t space i n v o l v e s space a d d i t i o n comma s u b t r a c t i o n space a n d space m u l t i p l i c a t i o n comma space w i t h space n o n minus n e g a t i v e space i n t e g e r space c o e f f i c i e n t s.  T h e r e space a r e space p o l y n o m i a l s space w i t h o u t space a n y space v a r i a b l e s. S e e space t h e space f o l l o w i n g space e x a m p l e s colon 3 comma space minus 2 comma space 1 over 35 T h e s e space a r e space o n l y space c o n s tan t s space a n d space w e space c a n space s a y space t h a t space t h e space a b o v e space a r e space t e r m e d space a s space p o l y n o m i a l s space w i t h space z e r o space d e g r e e.  C o n s i d e r space p o l y n o m i a l s space i n space o n e space v a r i a b l e s colon 2 x cubed plus 6 x to the power of 12 minus 56 1 third x to the power of 5 plus 21 x squared minus 67 x plus 30 equals 0  C o n s i d e r space p o l y n o m i a l s space i n space t w o space v a r i a b l e s colon x cubed y minus x squared y squared plus x y cubed x y minus x to the power of 5 minus 2  I f space t h e space p o l y n o m i a l space i s space i n space o n e space v a r i a b l e comma space t h e n space w e space c a n space s a y space t h a t space i t space i s space a space f u n c t i o n space o f space x. T h u s comma space w e space a r e space w r i t i n g space t h e space p o l y n o m i a l space a s space f left parenthesis x right parenthesis. space I t space m a y space b e space a space f left parenthesis x comma y right parenthesis space i f space i t space i s space a space p o l y n o m i a l space i n space x space a n d space y.

Answered by Vimala Ramamurthy | 20th Mar, 2015, 10:41: AM