\[(3 + x)( - 1 - x) =\]
\[= 3 \cdot ( - 1) + 3 \cdot ( - x) + x \cdot ( - 1) + x \cdot ( - x) =\]
\[= - 3 - 3x - x - x^{2} =\]
\[= - x^{2} - 4x - 3.\]