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If a polynomial function exists such that what is the absolute value of f(4)?
  • a)
    63
  • b)
    65
  • c)
    1/63
  • d)
    1/65
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If a polynomial function exists such thatwhat is the absolute value of...
then f(x) has to be of form
this can be written as

Multiplying 1 and 2 we get

Assuming f(x)-1 = g(x) gives us 
As per the conditions 
Since f(x) is a polynomial function g(x) is a polynomial function.
g(x) can be satisfied only by ± xn
Hence f(x) = 1 + xn
f(-2) = 1 + (−2)n = 9 or + (−2)n = 8
Thus n=3 and function has to be 1 - x3
f(4) = 1 - 43 = 1 - 64 = -63
Modulus value = 63
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If a polynomial function exists such thatwhat is the absolute value of f(4)?a)63b)65c)1/63d)1/65Correct answer is option 'A'. Can you explain this answer?
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