which polynomial function has xintercepts 10 and 2 and passe

which polynomial function has x-intercepts -1,0 and 2 and passes through the point (1,-6)?

Polynomial function with x intercept as x=-1 , x=0 , x=2 .These are the zeros of polynomial.

This is a third degree polynomial which can be expressed as: y= a (x+1)x(x-2) wher a is a constatn

Lets find a with the given point : ( 1, -6)

-6 = a( (1+1)(1)(1-2)

-6 = a( 2*1*-1)

-6 = a( -2)

a = 3

y = 3(x+1)x(x-2) is the Polynomial

Further expanded y= 3( x^2 +x)(x-2) = 3( x^3 -2x^2 +x^2 -2x)

y= 3(x^3 -x^2 -2x) = 3x^3 -3X^2 -6X