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avatar+693 

what is the f 

 Sep 28, 2018
 #1
avatar+6187 
+1

I'm not sure how you are supposed to figure this out but

 

\(f(x) = x^4 - 2x^2 \\ \text{and is of degree 4}\)

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 Sep 28, 2018
 #2
avatar+109522 
+2

 

See if you can can work out what I have done.

See how in the 4th lot of subtracions the answer is the same each time.

That means it is a polynomial of degree 4.

 

x F(x) (1) (2) (3) (4)    
-3 63            
-2 8 8-63=-55          
-1 -1 -1-8=-9 -9--55=46        
0 0 0--1=1 1--9=10 10-46=-36      
1 -1 -1-0=-1 -1-1=-2 -2-10=-12 -12--36=24    
2 8 8--1=9 9--1=10 10--2=12 12--12=24    
3 63 63-8=55 55-9=46 46-10=36 36-12=24    
 Sep 28, 2018

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