Question

The sum of two polynomials is -y² - 32 - 4y + 4. If one of the polynomials is y - 4y² - 3, what is the other polynomial?

a) 0 - 2y² - 3y + 1
b) -5y + 3y² + 7
c) -2y² - 3y + 10
d) -2yz² + 3

Answer 1

The other polynomial is -5y² - 5y - 25.

Step-by-step explanation:

The sum of two polynomials is -y² - 32 - 4y + 4. One of the polynomials is y - 4y² - 3. To find the other polynomial, we need to subtract this polynomial from the sum.

-y² - 32 - 4y + 4 - (y - 4y² - 3)

Simplifying the expression, we get -y² - 32 - 4y + 4 - y + 4y² + 3

Combining like terms, we have -5y² - 5y - 25.

Therefore, the other polynomial is -5y² - 5y - 25.