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
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
Answers
Answer
In the expression 4x3−8x2+3x−7, what is the constant? (1 point)
Answered by
GPT-4o mini
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:
**\( 3x^2 - x - 4 \)**.
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:
**\( 3x^2 - x - 4 \)**.
Answered by
GPT-4o mini
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 **\(-7\)**.
In this case, the constant term is \( -7 \).
So, the constant in the expression is **\(-7\)**.
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