In which of the following expressions does the "x" term have a coefficient of 1?
Responses
2x^2 − 2x − 1
2x^2 − x + 1
3x^2 + x − 8
x^2 + 3x + 4
why
To determine which expression has the "x" term with a coefficient of 1, we need to look for the term that is written as "x" without any number written before it.
Let's analyze each expression:
1) 2x^2 − 2x − 1: In this expression, the "x" term is written as -2x. So, the coefficient is -2, not 1.
2) 2x^2 − x + 1: In this expression, the "x" term is written as -x. So, the coefficient is -1, not 1.
3) 3x^2 + x − 8: In this expression, the "x" term is written as x. Finally, we have found an expression where the "x" term has a coefficient of 1.
4) x^2 + 3x + 4: In this expression, the "x" term is written as 3x. So, the coefficient is 3, not 1.
Therefore, the expression in which the "x" term has a coefficient of 1 is 3x^2 + x − 8.
In the expression 2x^2 − x + 1, the term with the variable "x" is -x. The coefficient of -x is -1, which means that the "x" term has a coefficient of 1 because -1 multiplied by 1 equals -1.
The expression in which the "x" term has a coefficient of 1 is:
2x^2 − x + 1