Question

In which of the following expressions does the x
term, or linear term, have a coefficient of −1
?(1 point)
Responses

3x2−x−4
3 x squared minus x minus 4

2x2+6x−1
2 x squared plus 6 x minus 1

−2x2+x+7
negative 2 x squared plus x plus 7

−x2+3x+1

Answer 1

In the expression 4x3−8x2+3x−7, what is the constant? (1 point)

Answer 2

Let's analyze the coefficient of the linear term (the \( x \) term) in each of the given expressions:

1. **\( 3x^2 - x - 4 \)**:
- The coefficient of \( x \) is \( -1 \).

2. **\( 2x^2 + 6x - 1 \)**:
- The coefficient of \( x \) is \( 6 \).

3. **\( -2x^2 + x + 7 \)**:
- The coefficient of \( x \) is \( 1 \).

4. **\( -x^2 + 3x + 1 \)**:
- The coefficient of \( x \) is \( 3 \).

The expression with a coefficient of \( -1 \) for the \( x \) term is:
**\( 3x^2 - x - 4 \)**.

Answer 3

In the expression \( 4x^3 - 8x^2 + 3x - 7 \), the constant term is the term that does not contain a variable (i.e., \( x \)).

In this case, the constant term is \( -7 \).

So, the constant in the expression is **\(-7\)**.