Which of the following expressions is a polynomial in one variable but not a quadratic polynomial?
Answer and explanation
Correct answer: \(4x^3+x-9\)
Option B, \(4x^3+x-9\), has only non-negative integer powers of the variable \(x\), so it is a polynomial. Its highest power is 3, making it a cubic polynomial rather than a quadratic polynomial. Option A has degree 2 and is therefore quadratic. Option C contains \(x^{-1}\), and option D contains \(x^{1/2}\); hence neither is a polynomial. Exam tip: check that all variable exponents are non-negative integers, then identify the highest exponent as the degree.
Frequently asked questions
What is the correct answer to this question?
\(4x^3+x-9\)
Why is this the correct answer?
Option B, \(4x^3+x-9\), has only non-negative integer powers of the variable \(x\), so it is a polynomial. Its highest power is 3, making it a cubic polynomial rather than a quadratic polynomial. Option A has degree 2 and is therefore quadratic. Option C contains \(x^{-1}\), and option D contains \(x^{1/2}\); hence neither is a polynomial. Exam tip: check that all variable exponents are non-negative integers, then identify the highest exponent as the degree.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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