Question 1084540
{{{2x^3+x^2-61x+30=0}}}.... factor  first; write {{{x^2}}} as  {{{-10x^2-x^2+12x^2}}} and {{{-61x}}} as {{{5x-60x-6x}}}

{{{2x^3-10x^2 -x^2+5x+12x^2-60x-6x+30 = 0}}}........group

{{{(2x^3-10x^2) -(x^2-5x)+(12x^2-60x)-(6x-30) = 0}}}

{{{2x^2(x-5) - x(x-5)+12x(x-5)-6(x-5) = 0}}}

{{{(x - 5)(2x^2 -x+12x-6) = 0}}}

{{{(x - 5)((2x^2 -x)+(12x-6)) = 0}}}

{{{(x - 5)(x(2x -1)+6(2x-1)) = 0}}}

{{{(x - 5) (x + 6) (2x - 1) = 0}}}

roots:

if {{{(x - 5) = 0}}}-> {{{x=5}}}

if {{{ (x + 6)  = 0}}}-> {{{x=-6}}}

if {{{ (2x - 1) = 0}}}->{{{2x=1}}}->{{{x=1/2}}}





{{{ graph( 600, 600, -10, 10, -100, 150,2x^3+x^2-61x+30) }}}