Answer: k = 2 is the upper bond of the given equation.
Step-by-step explanation:
Here, Given function,
;
Since, the coefficient of = 2
The coefficient of = 4
The coefficient of = 2
And, the constant term = - 4
By applying the synthetic division with 2,
The terms in the upper row = 2, 4, 2 and - 4
The terms in the middle row = 4, 16 and 36
And, the terms in the bottom row = 2, 8, 18 and 32
Since, 2> 0 and all the sign in the bottom row are positive.
Thus, 2 is the upper bond for real roots of this equation.