9
QuizMultiple Choice

Addition and Subtraction of Polynomials — Quiz

Question 9 • Algebra II

Marcus finds that open paren 3 x squared minus 2 y squared plus 5 x close paren plus open paren 4 x squared plus 12 y squared minus 7 x close paren is equal to 7 x squared minus 10 y squared minus 2 x What error did Marcus make?

Answer
A
He combined the terms negative 2 y squared and 12 y squared incorrectly.
B
He subtracted the polynomials instead of adding.
C
He combined the terms 3 x squared and 4 x squared incorrectly.
D
He combined the terms 5 x and negative 7 x incorrectly.

Explanation

When adding the polynomials, combine like terms: the y² terms are −2y² + 12y² = 10y². The correct sum is 7x² + 10y² − 2x, so Marcus combined −2y² and 12y² incorrectly. The correct choice is “He combined the terms negative 2 y squared and 12 y squared incorrectly.”

AI-written and checked against the verified answer.

Previous
Next