Question 644892
{{{F(x)= 4x^3-24x^2-x+6=0}}}

{{{4x^3-x-24x^2+6=0}}}...group

{{{(4x^3-x)-(24x^2-6)=0}}}

{{{x(4x^2-1)-6(4x^2-1)=0}}}

{{{(x-6)(4x^2-1)=0}}}

{{{(x-6)(2x-1)(2x+1)=0}}}

solutions:

if {{{x-6=0}}}........=>..{{{x=6}}}

if {{{2x-1=0}}}........=>..{{{2x=1}}}=>..{{{x=1/2}}}

if {{{2x+1=0}}}........=>..{{{2x=-1}}}=>..{{{x=-1/2}}}


{{{ graph( 600, 600, -10, 10, -10, 10, 4x^3-x-24x^2+6) }}}