Verified Answer :

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x-c where c is a number is a factor of the function if and only if the result of the operation gives a remainder is 0. It has been said that R is equal to the function of c. Calculation for this are as follows;

R = f(c) = 0 = 3x^2 + 4x - 4

Solving for x, we obtain

x = 2/3
x = -2

From the choices the answer is the 3rd option.

Answer:

(3x − 2)

Step-by-step explanation:

Given : \(3x^2 + 4x - 4\)

To Find : Select one of the factors of  \(3x^2 + 4x - 4\)

Solution:

\(3x^2 + 4x - 4=0\)

\(3x^2 + 6x-2x - 4=0\)

\(3x(x + 2)-2(x +2)=0\)

\((x + 2)(3x-2)=0\)

Hence (3x − 2) is one of the factors of \(3x^2 + 4x - 4\)