19
AssignmentMultiple Choice

Addition and Subtraction of Polynomials

Question 19 • OK-Algebra II A

Kendall says the sum of (6x2 + 4xy + 2y2) and (4x2 – 2xy – 3y2) is (10x2 + 2xy – 5y2). What error did Kendall make?

Answer
A
He combined the like terms 6x2 and 4x2 incorrectly.
B
He combined the like terms 4xy and –2xy incorrectly.
C
He combined the like terms 2y2 and –3y2 incorrectly.
D
He subtracted the polynomials instead of adding.

Explanation

Add the coefficients of matching terms: 6x² + 4x² = 10x², and 4xy − 2xy = 2xy. For the y² terms, 2y² − 3y² = −y², not −5y². Kendall combined the like terms 2y² and −3y² incorrectly.

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