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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
Using synthetic division to divide 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.

RELATED QUESTIONS

Use synthetic division and the remainder theorem to find the value of the given function (answered by Edwin McCravy)
Use synthetic division and the remainder theorem to find the value of the given function (answered by jsmallt9)
For each polynomial function, use the remainder theorem and synthetic division to find... (answered by Fombitz)
Use the remainder theorem and synthetic division to find f(k). k = -2; f(x) = -4x^5 +... (answered by CubeyThePenguin)
Use synthetic division and the Remainder Theorem to find the indicated function value.... (answered by stanbon)
Use synthetic division and the remainder theorem to find the indicated function value... (answered by ikleyn,josgarithmetic)
Use synthetic division and the Remainder Theorem to find the indicated function value. (answered by josgarithmetic)
Use synthetic division to find the function value. f(x)=x^4+16; find f(3). (answered by oscargut)
Given f of x = 2x(to the 3rd)-7x(squared)+9x-3, us the remainder theorem (synthetic... (answered by stanbon)