Question

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

One of the factors is (6y + 7).

One of the factors is (7x + 5).

One of the factors is (6y – 7).

One of the factors is (7x – 5).

This expression is prime.

Answer 1

Factor by grouping:
42xy – 49x + 30y – 35 = (42xy – 49x) + (30y – 35)
= 7x(6y – 7) + 5(6y – 7)
= (6y – 7)(7x + 5).

So (6y – 7) and (7x + 5) are factors. Therefore:
- (6y + 7): false
- (7x + 5): true
- (6y – 7): true
- (7x – 5): false
- prime: false