Respuesta :

I'd start by finding the roots of the given expression.  From these roots you can write the factors.
        -28 plus or minus sqrt(28^2 - 4(5)(-12)
x  = ------------------------------------------------------
                                      10
           -28 plus or minus sqrt(784+240)
    = -----------------------------------------------
                              10
         -28 plus or minus 35 (approx)
    = ---------------------------------------------
                         10
          35-28                -28-35
     = ------------- and  ------------  These roots are only approximate.  However,
              10                     10        if we treat them as exact, with one root
                                                   equal to 7/10 and the other -63 / 10     
                                                                                               
then the factors of the polynomial would be, approx., x-7/10  and x+63/10.

Please double check to ensure that you've copied down the problem completely and accurately.  Thanks.
                                                                                                 
The answer is (x+6) x (5x-2)

Change 5x ^2 + 28x - 12

To:

5x^2 + 30x - 2x - 12

Factor the expression

5x (x + 6) - 2 ( x + 6)

Factor out x + 6

To get

(x + 6) (5x-2)

that’s the answer because their are no like terms.