Question

Select one of the factors of 3x^2 + 4x − 4.

(x 4)
(3x 2)
(3x − 2)
(x − 2)

Answer 1

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

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.

Answer 2

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.