Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the func
tion f). k = 2; f(x) = 5x4 + 4x3 - 2x2 + 2x + 4; Upper bound?
2 answers:
Solution:
The given Polynomial is :

By Rational Root theorem the of Zeroes of the Polynopmial are:

But , 
So, no root of this polynomial is real.
Therefore, All the four roots of Polynomial are imaginary.
So, we can't say whether the number k=2, is an upper or lower bound of the polynomial
.
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Hope this helps