Question 1025360
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factor the trinomial using a binomial:
4x^2+24x+27
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1. Apply the quadratic formula to find the roots of the polynomial.

   The roots are 

   {{{x[1,2]}}} = {{{(-24 +- sqrt((-24)^2 - 4*4*27))/8}}} = {{{(-24 +- sqrt(144))/8}}} = {{{(-24 +- 12)/8}}}.

   So, {{{x[1]}}} = {{{-36/8}}} = -4.5  and  {{{x[2]}}} = {{{-12/8}}} = -1.5.

2. Hence, the factorization is 

   {{{4x^2+24x+27}}} = {{{4*(x - x[1])*(x - x[2])}}} = 4*(x - (-4.5))*(x - (-1.5)) = (2x + 9)*(2x + 3).

It is your answer.
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