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Based on the powers of the variable \(x\) in the polynomial \(5x^2-3x+7\), what is the degree of this expression?

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Answer and explanation

Correct answer: 2

The degree of a polynomial is the highest power of its variable. In \(5x^2-3x+7\), the powers of \(x\) are 2, 1, and 0, so the highest is 2. The term \(-3x\) has power 1, but it does not determine the degree. Exam tip: check the greatest exponent.

Tags

quadratic expressionspolynomial degreealgebraic identitiesclass 9 mathematicsexponents

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

The degree of a polynomial is the highest power of its variable. In \(5x^2-3x+7\), the powers of \(x\) are 2, 1, and 0, so the highest is 2. The term \(-3x\) has power 1, but it does not determine the degree. Exam tip: check the greatest exponent.

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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