Question 1140471

the quadratic equation whose roots are 
{{{x[1]=-4}}} and {{{x[2]=6}}}, and whose leading coefficient is {{{a=2}}}


{{{f(x)=a(x-x[1])(x-x[2])}}}.....plug in given values

{{{f(x)=2(x-(-4))(x-6)}}}

{{{f(x)=2(x+4)(x-6)}}}

{{{f(x)=2(x^2-6x+4x-24)}}}

{{{f(x)=2(x^2-2x-24)}}}

{{{f(x)=2x^2-4x-48)}}}



{{{ graph( 600, 600, -10, 10, -50, 10,2x^2-4x-48) }}}