x = 3,-1, multiplicity of 2.
Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)
We just convert these x-values into x-intercept form and convert again in standard form by multiplying.
(x-3)(x+1)(x-2)²
(x²-2x-3)(x²-4x+4)
(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)
Thus the answer is x⁴-6x³+9x²+4x-12
