SOLUTION: factor the trinomial using a binomial: 4x^2+24x+27

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Question 1025360: factor the trinomial using a binomial:
4x^2+24x+27

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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factor the trinomial using a binomial:
4x^2+24x+27
~~~~~~~~~~~~~~~~~~~~

1. Apply the quadratic formula to find the roots of the polynomial.

   The roots are 

    =  =  = .

   So,  =  = -4.5  and   =  = -1.5.

2. Hence, the factorization is 

    =  = 4*(x - (-4.5))*(x - (-1.5)) = (2x + 9)*(2x + 3).

It is your answer.


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