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Margaret [11]
3 years ago
15

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) = 2x3 + 4x2 + 2x - 4; Lower bound?

Mathematics
2 answers:
Vesna [10]3 years ago
8 0

Answer: k = 2 is the upper bond of the given equation.

Step-by-step explanation:

Here, Given function,  

f(x) = 2x^3 + 4x^2 + 2x - 4;

Since, the coefficient of x^3 = 2

The coefficient of x^2 = 4

The coefficient of x = 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.


Mariana [72]3 years ago
7 0
Yesss its base (2) times the length of hype
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