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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 March 2015, 7:41 PM
Answered by 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 Expert 20th March 2015, 10:41 AM
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