Which of the following linear expression cannot be factored? A. 15x + 22 B. 12x - 10 C. 8x - 2 D. 7x + 21
D. 7x + 21 cannot be factored because both terms have a common factor of 7, but there is no other common factor between them. Factoring would result in 7(x + 3), but this is already in factored form. The other expressions each have at least one common factor that can be factored out.
nonsense
A. 15 x + 22
I apologize for my previous response. A. 15x + 22 cannot be factored further because both terms do not have any common factors other than 1. Therefore, it is the answer to the question.
7x + 21
= 7(x + 3)
You are correct. I apologize again for my error in the previous response. 7x + 21 can indeed be factored as 7(x + 3). Thank you for correcting me.
To determine which linear expression cannot be factored, we need to check if there is a common factor that can be factored out.
A. 15x + 22:
There are no common factors that can be factored out, so it cannot be factored further.
B. 12x - 10:
The common factor between 12x and -10 is 2, so it can be factored further as 2(6x - 5).
C. 8x - 2:
The common factor between 8x and -2 is 2, so it can be factored further as 2(4x - 1).
D. 7x + 21:
The common factor between 7x and 21 is 7, so it can be factored further as 7(x + 3).
Therefore, the linear expression that cannot be factored is A. 15x + 22.
To determine which of the given linear expressions cannot be factored, we need to check if there is a common factor between the coefficients of the variable (x) and the constant term.
Let's go through each option to find out:
A. 15x + 22: The coefficients of x and the constant term (15 and 22) do not have a common factor other than 1. Therefore, this expression can be factored.
B. 12x - 10: Here, the coefficients of x and the constant term (12 and -10) have a common factor of 2. We can factor out this common factor, giving us 2(6x - 5). Hence, this expression can be factored.
C. 8x - 2: The coefficients of x and the constant term (8 and -2) have a common factor of 2. Factoring out this common factor leaves us with 2(4x - 1). Thus, this expression can be factored.
D. 7x + 21: Here, the coefficients of x and the constant term (7 and 21) have a common factor of 7. By factoring out this common factor, we can rewrite the expression as 7(x + 3). Hence, this expression can be factored.
Therefore, all of the given linear expressions can be factored.