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

k = -1; f(x) = 4x3 - 2x2 + 2x + 4; lower bound?
yes or no?

Yes

Step-by-step explanation:

Given the polynomial

f(x) = 4x³ - 2x² + 2x + 4

we are asked to use synthetic division to divide f(x) by (x - k) where k = -1. This is performed as follows:

-1   |   4    -2    2    4

    |          -4    6    -8

       4     -6    8     -4

Given that k < 0 and the values in the  bottom row of the synthetic division alternate between non-negative and non-positive, then x = -1 is a lower bound for the real zeros of the function f(x).

step-by-step explanation:

4227473658779875563886538705958641728563470543621287463824132573847969p05749365273847906970680574936214

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.