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Which option has polynomial degree (6)?

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Answer and explanation

Correct answer: \(3x^6-2x^2+1\)

The degree of a polynomial is the highest power of the variable with a non-zero coefficient. In \(3x^6-2x^2+1\), the highest power of \(x\) is \(6\), so its degree is \(6\). In option B, the highest power is \(5\), so it is not correct. Exam tip: To find the degree, identify the term with the greatest exponent of the variable.

Related tags

PolynomialsDegree Of PolynomialAlgebraClass 9Exponents

Frequently asked questions

What is the correct answer to this question?

\(3x^6-2x^2+1\)

Why is this the correct answer?

The degree of a polynomial is the highest power of the variable with a non-zero coefficient. In \(3x^6-2x^2+1\), the highest power of \(x\) is \(6\), so its degree is \(6\). In option B, the highest power is \(5\), so it is not correct. Exam tip: To find the degree, identify the term with the greatest exponent of the variable.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.

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