Question 1206676
{{{4x^4 - 37x^2 + 9 = 0}}}.... factor

{{{4 x^4 + 12x^3 - x^2 - 3x-12x^3 - 36x^2 +3x +9=0}}}

{{{(4 x^4 -12x^3)+ (12x^3 - 36x^2)- (x^2-3x)- (3x-9)=0}}}

{{{4x^3(x -3)+ 12x^2(x - 3)- x(x-3)- 3(x-3)=0}}}

{{{(x - 3) (4x^3 + 12x^2 - x - 3) = 0}}}

{{{(x - 3) ((4x^3 + 12x^2) - (x +3)) = 0}}}

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

{{{(x - 3) (x + 3) (4x^2- 1) = 0}}}

{{{(x - 3) (x + 3) ((2x)^2- 1) = 0}}}

{{{(x - 3) (x + 3) (2 x - 1) (2 x + 1) = 0}}}


roots:

if {{{(x - 3)  = 0}}}=> {{{x=3}}}

if {{{(x + 3)  = 0}}}=> {{{x=-3}}}

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

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


{{{ graph( 600, 600, -10, 10, -10, 10, 4x^4 - 37x^2 + 9 ) }}}