Question
Wed March 18, 2015 By: Yuganshi Bharti

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.

Expert Reply
Vimala Ramamurthy
Fri March 20, 2015
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.
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