Question 696158
given:

{{{P(x)=0}}} has the given roots:

{{{x[1]=2}}} and {{{y[1]=-1}}}

{{{x[2]= 3}}} and {{{y[2]= -1}}}

{{{ x[3]=5}}} and {{{ y[3]=1}}}
 

{{{(x-x[1])(x-x[2])(x-x[3])=0}}}

{{{(x-2)(x-3)(x-5)=0}}}...........multiply

{{{(x^2-3x-2x+6)(x-5)=0}}}

{{{x^3-5x^2-3x^2+15x-2x^2+10x+6x-30=0}}}

{{{x^3-10x^2+31x-30=0}}}


{{{ graph( 600, 600, -10, 10, -35,10,grid(1),x^3-10x^2+31x-30) }}}