Question

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

Answer 1

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Difference of polynomials

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

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