Which of the following expressions clearly contains the \(x^2\) term?
Answer and explanation
Correct answer: \(4x^2+1=0\)
A quadratic term is the term where the variable has exponent 2, i.e. contains \(x^2\). Option C explicitly has \(4x^2\), so it is correct. The other options contain \(10x\), \(2x\) and \(x\), which are linear (degree 1) terms and not quadratic. The closest possible confusion could be mistaking a large coefficient (like 10 in option A) for a squared term, but the exponent must be 2. Exam tip: always check the exponent on x — only an explicit \(x^2\) (or equivalent) makes the term quadratic.
Frequently asked questions
What is the correct answer to this question?
\(4x^2+1=0\)
Why is this the correct answer?
A quadratic term is the term where the variable has exponent 2, i.e. contains \(x^2\). Option C explicitly has \(4x^2\), so it is correct. The other options contain \(10x\), \(2x\) and \(x\), which are linear (degree 1) terms and not quadratic. The closest possible confusion could be mistaking a large coefficient (like 10 in option A) for a squared term, but the exponent must be 2. Exam tip: always check the exponent on x — only an explicit \(x^2\) (or equivalent) makes the term quadratic.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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