The first polynomial is [tex] y -4yz^2-3 [/tex] and let the second polynomial be P(y,z).
If the sum of two polynomials is [tex] -yz^2-3z^2-4y+4 [/tex], then [tex] y-4yz^2-3+P(y,z)=-yz^2-3z^2-4y+4 [/tex].
Take the first polynomial from the left side to the right side:
[tex] P(y,z)=-yz^2-3z^2-4y+4 -(y-4yz^2-3),\\ P(y,z)=-yz^2-3z^2-4y+4 -y+4yz^2+3,\\ P(y,z)=3yz^2-3z^2-5y+7 [/tex].
Answer: the second polynomial is [tex] 3yz^2-3z^2-5y+7 [/tex].
