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  1. Hello there!

    The correct answer is option C

    Although, (3x -2) is not the complete factor of 3x^2 + 4x -4.

    The complete factor is (3x - 2)(x + 2)
    So when we look at the options, we can see that option C is the correct option.

    I hope this helps~ Please let me know if you have additional questions about the answer.

    Best of luck!

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

    Step-by-step explanation:

    Given the polynomial

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

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

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

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

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

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

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

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

    The above two are the factors of the given polynomial.

    Hence, from the given options

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

  3. 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.

  4. 3x^2 + 4x -4 

    ax^2 + ax + c 

    a = 3 
    b = 4 
    c = -4 

    Start by multiplying a * c together 

    a * c = 3 * - 4 = - 12

    Find two number that multiply to -12 and also add up to 4 

    6 and - 2 can be an option because ...

    6 * - 2 = - 12 
    6 - 2 = 4 

    Now you rewrite the equation to solve for factors...

    3x^2 + 6x - 2x - 4 

    Factor out like terms...

    3x ( x + 2 ) - 2 ( x + 2) 

    THE FACTORS OF THIS QUADRATIC EQUATION ARE ( x + 2) ( 3x - 2)

  5. (3x-2) is the factor of given polynomial.

    Step-by-step explanation:

    Given the polynomial

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

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

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

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

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

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

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

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

    The above two are the factors of the given polynomial.

    Hence, from the given options

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

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