Find all roots of P(x)=x4−2x3−7x2+8x+12P(x) = x^4 - 2x^3 - 7x^2 + 8x + 12P(x)=x4−2x3−7x2+8x+12.
x=−1,2,3,−2x = -1, 2, 3, -2x=−1,2,3,−2
x=1,−2,3,−2x = 1, -2, 3, -2x=1,−2,3,−2
x=−1,2,2,−3x = -1, 2, 2, -3x=−1,2,2,−3
The polynomial has no rational roots