Steven will factor the expression 42xyz + 56xy – 7x by dividing each term by a common factor. Which possible common factor could Steven use? (choose 2)
Responses
A) 2
B) 3
C) 7
D) xy
To find the possible common factors for the expression 42xyz + 56xy - 7x, we need to consider the coefficients of each term.
The coefficients are 42, 56, and -7.
Possible common factors for 42, 56, and -7 are 1, 7, and -7.
Therefore, Steven could use either 1 or 7 as the common factor.
To determine which possible common factors Steven could use to factor the expression 42xyz + 56xy - 7x, we need to find the greatest common factor (GCF) of all the terms.
First, let's list the factors of each term:
- 42xyz: 1, 2, 3, 6, 7, 14, 21, 42, x, y, and z
- 56xy: 1, 2, 4, 7, 8, 14, 28, x, y
- 7x: 1, 7, x
Now, let's find the common factors among all the terms:
- 1: It is a common factor of all the terms.
- 2: It is a common factor of the first two terms (42xyz and 56xy).
- 7: It is a common factor of the last two terms (56xy and 7x).
- x: It is a common factor of all the terms.
Therefore, the possible common factors Steven could use to factor the expression are 1, 2, 7, and x.