The other polynomial is -5yz^2 + 3z^2 - 3y + 1.
To solve this, we can add the given polynomial y - 4yz^2 - 3 to the sum of the two polynomials to get the other polynomial.
So,
y - 4yz^2 - 3 + yz^2 - 3z^2 - 4y + 4 = -yz^2 - 3z^2 - 4y + 4
Rearranging and combining like terms give us the other polynomial:
yz^2 + 3z^2 - 4y + y - 4yz^2 - 3 = -yz^2 - 3z^2 - 4y + 4
y - 4y = -3
-4z^2 + 3z^2 + yz^2 + 4yz^2 = -yz^2
-1z^2 + 5z^2 = 4z^2
4z^2 - yz^2 - 4yz^2 = -yz^2
So the correct answer is -5yz^2 + 3z^2 - 3y + 1.
The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial?
–2yz2 – 4y + 7
–2yz2 – 3y + 1
–5yz2 + 3z2 – 3y + 1
3yz2 – 3z2 – 5y + 7
1 answer