Find a degree-3 polynomial with leading coefficient 111 and roots x=1x = 1x=1, x=−2x = -2x=−2, x=3x = 3x=3.
x3−2x2−5x+6x^3 - 2x^2 - 5x + 6x3−2x2−5x+6
x3+2x2−5x−6x^3 + 2x^2 - 5x - 6x3+2x2−5x−6
x3−2x2+5x+6x^3 - 2x^2 + 5x + 6x3−2x2+5x+6
x3+5x2+2x−6x^3 + 5x^2 + 2x - 6x3+5x2+2x−6