Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the func

Question

3 years ago

15

tion f). k = 2; f(x) = 2x3 + 4x2 + 2x - 4; Lower bound?

2 answers:

Vesna [10] · Answer 1 · 2021-12-24T04:56:06+03:00

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] · Answer 2 · 2021-12-24T06:03:24+03:00

7 0

Yesss its base (2) times the length of hype