Question 531151
{{{ 4x^2 + 9x + 2 }}}
Use quadratic formula
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{ a = 4 }}}
{{{ b = 9 }}}
{{{ c = 2 }}}
{{{x = (-9 +- sqrt( 9^2-4*4*2 ))/(2*4) }}} 
{{{x = ( -9 +- sqrt( 81 - 32 )) / 8 }}} 
{{{x = ( -9 +- sqrt( 49 )) / 8 }}} 
{{{x = ( -9 + 7) / 8 }}} 
{{{ x = -2/8 }}}
{{{ x = -1/4 }}}
and
{{{x = ( -9 - 7) / 8 }}} 
{{{ x = -2 }}}
The factors are:
{{{ ( x + 1/4 )*( x + 2 ) = 4x^2 + 9x + 2 }}}