+0  
 
0
55
1
avatar+222 

The table below Shows ordered pairs for a polynomial function, f. 

x               f(x)
_____________________ 
-3               63
-2               8
-1              -1
0                0
1               -1
2                8
3                63 


what is the degree of f?

whosmans  Oct 3, 2018
 #1
avatar+3167 
+2

Below is the table of successive differences showing that the degree is 4

 

\(\left( \begin{array}{cc} 0 & \{63,8,-1,0,-1,8,63\} \\ 1 & \{55,9,-1,1,-9,-55\} \\ 2 & \{46,10,-2,10,46\} \\ 3 & \{36,12,-12,-36\} \\ 4 & \{24,24,24\} \\ \end{array} \right)\)

Rom  Oct 4, 2018

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