Verified Answer :

Answer

Find out the factors of 3x² + 4x - 4.

To prove

As given in the question

= 3x² + 4x - 4

simplify the above

= 3x² + 6x - 2x - 4

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

= (3x - 2) ( x - 2)

The factors of the 3x² + 4x - 4 are  (3x - 2) ( x - 2) .

and from the option given in the question (3x -2 ) is the factor of the  3x² + 4x - 4.

Answer:

(3x-2) is the factor of given polynomial.

Step-by-step explanation:

Given the polynomial

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

we have to select one factor of above polynomial from the given choices.

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

By middle term splitting method we find the factors of above polynomial.

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

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

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

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

The above two are the factors of the given polynomial.

Hence, from the given options

(3x-2) is the factor of given polynomial.