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Which polynomial is a quadratic polynomial?

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Answer and explanation

Correct answer: \(x^2-4x+1\)

A quadratic polynomial is a polynomial whose highest power of the variable is 2. In \(x^2-4x+1\), the highest power of \(x\) is 2, so it is quadratic. Option A is linear, option C is cubic, and option D is a constant polynomial. Exam tip: identify the degree by looking at the term with the highest exponent.

Related tags

Quadratic PolynomialDegreePolynomial ClassificationPolynomials In One Variable

Frequently asked questions

What is the correct answer to this question?

\(x^2-4x+1\)

Why is this the correct answer?

A quadratic polynomial is a polynomial whose highest power of the variable is 2. In \(x^2-4x+1\), the highest power of \(x\) is 2, so it is quadratic. Option A is linear, option C is cubic, and option D is a constant polynomial. Exam tip: identify the degree by looking at the term with the highest exponent.

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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