SOLUTION: Use synthetic division and the remainder theorem to find the value of the given function f(4)=answer formula=f(x)=x^4+3x^2+5

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Question 628479: Use synthetic division and the remainder theorem to find the value of the given function
f(4)=answer
formula=f(x)=x^4+3x^2+5
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Using synthetic division to divide x%5E4%2B3x%5E2%2B5 by x-4:
4 |   1   0   3   0    5   <== Note the zeros for the missing x^3 and x terms
===       4  16  76  304 
     ===================
      1   4  19  76  309

The remainder is in the lower right corner. According to the Reminder Theorem this is f(4): 309.