Question

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

Answer 1

(3x − 2)

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.