5
AssignmentMultiple Choice

Introduction to Polynomials

Question 5 • Common Core Algebra I B-IC

The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial?

Answer
A
–2yz2 – 4y + 7
B
–2yz2 – 3y + 1
C
–5yz2 + 3z2 – 3y + 1
D
3yz2 – 3z2 – 5y + 7

Explanation

Subtract the known polynomial from the sum: (–yz² – 3z² – 4y + 4) – (y – 4yz² – 3). Combine like terms to get 3yz² – 3z² – 5y + 7, which is choice D.

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