Given polynomial is:
[tex]-12x^{5}-6 x^{4}+5 x^{3}-x^{2}-12x+9[/tex] ..... Lets say it is "a"
We have to subtract a polynomial from this above one, to get the answer as:
[tex]-19x^{5}-8x^{4}+8x^{3}-2x^{2}-18x+19[/tex] ..... Lets say it is "c"
Lets say we have to subtract "b" so we have : [tex]a-b=c[/tex] or we can say [tex]a-c=b[/tex]
So, we will subtract "c" from "a" and get:
[tex]7x^{5}+2x^{4}-3x^{3}+x^{2}+6x-10[/tex]
Hence, this is the answer.