Use synthetic division to determine which of the following are the real zeroes of the function f(x) = 3x^3 + 10x^2 + 4x - 8

option b is correct

Step-by-step explanation:

In the options a, c and d we have to check if 2 is a root.

The coefficients of  f(x) = 3x^3 + 10x^2 + 4x - 8 are: 3, 10, 4 and -8.

The division of f(x) by (x-2) using synthetic division is:

2          3             10             4              -8

                           6             32              72

           3             16            36              64

The remainder is 64, so 2 is not root of f(x); if it was the remainder would be zero. This result makes options a, c and d incorrect.

The division of f(x) by (x+2) using synthetic division is:

-2          3             10             4              -8

                           -6             -8              8

            3               4            -4               0

The remainder is 0, so -2 is root of f(x).

The division of f(x) by (x-2/3) using synthetic division is:

2/3        3             10             4              -8

                           2               8               8

            3               12           12             0

The remainder is 0, so 2/3 is root of f(x). Then, option b is correct

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

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