9
QuizMultiple Choice

Multiplying Monomials and Binomials — Quiz

Question 9 • Algebra I

Which statements are true about the fully simplified product of open paren b minus 2 c close paren times open paren negative 3 b plus c close paren ? Choose two correct answers.

Answer
A
The simplified product has 2 terms.
B
The simplified product has a degree of 2 .
C
The simplified product, in standard form, has exactly 2 negative terms.
D
The simplified product has a degree of 4 .
E
The simplified product has 4 terms.

Explanation

Distribute each term: (b − 2c)(−3b + c) = −3b² + bc + 6bc − 2c². Combine like terms to get −3b² + 7bc − 2c², which has degree 2 because each term has total degree 2. In standard form, two terms are negative: −3b² and −2c².

AI-written and checked against the verified answer.

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