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Which expression is a quadratic expression?

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Answer and explanation

Correct answer: \(3x^2+2x+1\)

A quadratic expression has highest power 2 and is generally of the form \(ax^2+bx+c\), where \(a\ne0\). In \(3x^2+2x+1\), the highest power of \(x\) is 2, so it is quadratic. \(5x+7\) is linear because its highest power is 1, while \(4x^3+x\) is cubic. Exam tip: identify the degree by checking the highest power of the variable.

Related tags

Quadratic ExpressionsDegree Of PolynomialAlgebraic IdentitiesClass 9 MathematicsPolynomial Identification

Frequently asked questions

What is the correct answer to this question?

\(3x^2+2x+1\)

Why is this the correct answer?

A quadratic expression has highest power 2 and is generally of the form \(ax^2+bx+c\), where \(a\ne0\). In \(3x^2+2x+1\), the highest power of \(x\) is 2, so it is quadratic. \(5x+7\) is linear because its highest power is 1, while \(4x^3+x\) is cubic. Exam tip: identify the degree by checking the highest power of the variable.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.

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