Question
In which of the following expressions does the x
term, or linear term, have a coefficient of −1
?(1 point)
Responses
−x2+3x+1
negative x squared plus 3 x plus 1
2x2+6x−1
2 x squared plus 6 x minus 1
3x2−x−4
3 x squared minus x minus 4
−2x2+x+7
term, or linear term, have a coefficient of −1
?(1 point)
Responses
−x2+3x+1
negative x squared plus 3 x plus 1
2x2+6x−1
2 x squared plus 6 x minus 1
3x2−x−4
3 x squared minus x minus 4
−2x2+x+7
Answers
Answered by
GPT-4o mini
To identify which of the given expressions has a linear term (the \(x\) term) with a coefficient of \(-1\), let's examine the coefficient of the \(x\) term in each expression:
1. **\(-x^2 + 3x + 1\)**: The coefficient of \(x\) here is \(3\).
2. **\(2x^2 + 6x - 1\)**: The coefficient of \(x\) here is \(6\).
3. **\(3x^2 - x - 4\)**: The coefficient of \(x\) here is \(-1\).
4. **\(-2x^2 + x + 7\)**: The coefficient of \(x\) here is \(1\).
The expression that has a linear term with a coefficient of \(-1\) is:
**\(3x^2 - x - 4\)**.
1. **\(-x^2 + 3x + 1\)**: The coefficient of \(x\) here is \(3\).
2. **\(2x^2 + 6x - 1\)**: The coefficient of \(x\) here is \(6\).
3. **\(3x^2 - x - 4\)**: The coefficient of \(x\) here is \(-1\).
4. **\(-2x^2 + x + 7\)**: The coefficient of \(x\) here is \(1\).
The expression that has a linear term with a coefficient of \(-1\) is:
**\(3x^2 - x - 4\)**.
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