Answer
$-x^3+4x^2-4x-9$
Work Step by Step
Subtract each term of the subtrahend then simplify by combining like terms to obtain:
$(x^2-3x-4)-(x^3-3x^2+x+5)\\
=x^2-3x-4-x^3-(-3x^2)-x-5\\
=x^2-3x-4-x^3+3x^2-x-5\\
=-x^3 +(x^2+3x^2)-(3x+x)-(4+5)\\
=-x^3 +4x^2-4x-9$
Hence, the single polynomial answer in standard form is $-x^3+4x^2-4x-9$.