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AssignmentMultiple Select

Factoring Polynomials Completely

Question 7 • AZ-Common Core Algebra II A

Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply.

Answer
A
One of the factors is (6y + 7).
B
One of the factors is (7x + 5).
C
One of the factors is (6y – 7).
D
One of the factors is (7x – 5).
E
This expression is prime.

Explanation

Group the terms: (42xy − 49x) + (30y − 35). Factoring each group gives 7x(6y − 7) + 5(6y − 7), so the full expression factors as (7x + 5)(6y − 7). Therefore, (7x + 5) and (6y − 7) are factors.

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