Question 1127292

a polynomial {{{f(x)}}} of degree {{{3}}} that has the following zeros:


{{{x[1]= -1}}}
{{{x[2]= 1}}}
{{{x[3]= -2}}}
{{{a= -6}}}

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

{{{f(x)= -6(x-(-1))(x-1)(x-(-2))}}}

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

{{{f(x)= -6(x^2-1)(x+2)}}}

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

{{{f(x)= -6x^3-12x^2+6x+12}}}


{{{ graph( 600, 600, -10, 10, -10, 10,-6x^3-12x^2+6x+12) }}}