In which of the following expressions does the "X" term have a coefficient of -1?
A. -2x^2 + x + 7
B. -x^2 + 3x + 1
C. 2x^2 + 6x - 1
D. 3x^2 - x - 4
The "X" term is the term that includes the variable x. To find the coefficient of the "X" term, we look at the number that multiplies x.
A. -2x^2 + x + 7
The "X" term has a coefficient of 1, not -1.
B. -x^2 + 3x + 1
The "X" term has a coefficient of 3, not -1.
C. 2x^2 + 6x - 1
The "X" term has a coefficient of 6, not -1.
D. 3x^2 - x - 4
The "X" term has a coefficient of -1.
Therefore, the correct answer is D. 3x^2 - x - 4.
To find the expression in which the "X" term has a coefficient of -1, we need to identify the expression where the coefficient of the "X" term is -1.
Let's break down each expression and determine the coefficient of the "X" term:
A. -2x^2 + x + 7
The coefficient of the "X" term is 1.
B. -x^2 + 3x + 1
The coefficient of the "X" term is 3.
C. 2x^2 + 6x - 1
The coefficient of the "X" term is 6.
D. 3x^2 - x - 4
The coefficient of the "X" term is -1.
Therefore, the expression in which the "X" term has a coefficient of -1 is D. 3x^2 - x - 4.
To determine if the "X" term has a coefficient of -1 in each of the given expressions, we need to look at the coefficient of the "X" term in each expression. The coefficient of the "X" term is the number that multiplies with the "X."
Let's go through the expressions one by one:
A. -2x^2 + x + 7
The coefficient of the "X" term in this expression is 1, not -1.
B. -x^2 + 3x + 1
The coefficient of the "X" term in this expression is 3, not -1.
C. 2x^2 + 6x - 1
The coefficient of the "X" term in this expression is 6, not -1.
D. 3x^2 - x - 4
The coefficient of the "X" term in this expression is -1.
Therefore, the expression in which the "X" term has a coefficient of -1 is option D: 3x^2 - x - 4.