Question

Select one of the factors of 3x2 + 4x − 4. (x + 4) (3x + 2) (3x − 2) (x − 2)

Answer 1

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 $3x^2 + 4x - 4$

Answer 2

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.