Let a1, a2,… , an be fixed real numbers and define a function

f (x) = ( x − a1) ( x − a2)...( x − an) .


What is ? For some compute .


Given function is f(x) = (x – a1) (x – a2) … (x – an)


:



=


= (a1 – a1) (a1 – a2) … (a1 – an) = 0



:



=


= (a – a1) (a – a2) … (a – an)



Ans. and


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