In which expression is the coefficient of (x^2) equal to (-4)?
Answer and explanation
Correct answer: -4x^2+7
In \(-4x^2+7\), the \(x^2\)-term is \(-4x^2\), which can be written as \((-4)\times x^2\). Hence, the coefficient of \(x^2\) is \(-4\). In option C, \(4-x^2=4+(-1)x^2\), so its coefficient is \(-1\), not \(-4\). Exam tip: Always include the sign when identifying a coefficient.
Frequently asked questions
What is the correct answer to this question?
-4x^2+7
Why is this the correct answer?
In \(-4x^2+7\), the \(x^2\)-term is \(-4x^2\), which can be written as \((-4)\times x^2\). Hence, the coefficient of \(x^2\) is \(-4\). In option C, \(4-x^2=4+(-1)x^2\), so its coefficient is \(-1\), not \(-4\). Exam tip: Always include the sign when identifying a coefficient.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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