Question 1040832
The factors would be (x-1)(4x+1)(2x-3).  Set each of those equal to zero, and the roots 1, -1/4, and 3/2 would occur.
Foil the second and third and get (8x^2-10x-3).  Multiply that by (x-1) for 8x^3-8x^2-10x^2+10x-3x+3
The polynomial is 8x^3-18x^2+7x+3.
{{{graph(300,200,-5,5,-10,10, 8x^3-18x^2+7x+3)}}}