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

Respuesta :

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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 : [tex]3x^2 + 4x - 4[/tex]

To Find : Select one of the factors of  [tex]3x^2 + 4x - 4[/tex]

Solution:

[tex]3x^2 + 4x - 4=0[/tex]

[tex]3x^2 + 6x-2x - 4=0[/tex]

[tex]3x(x + 2)-2(x +2)=0[/tex]

[tex](x + 2)(3x-2)=0[/tex]

Hence (3x − 2) is one of the factors of [tex]3x^2 + 4x - 4[/tex]

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