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Which of the following expressions is a polynomial in one variable \(x\) of degree 4?

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Answer and explanation

Correct answer: \(7x^4-3x^2+x-9\)

In a polynomial, every exponent of \(x\) must be a non-negative integer. In option B, the greatest exponent is 4, so its degree is 4. A, C and D contain negative or fractional exponents. Exam tip: check exponents first.

Related tags

PolynomialsOne VariableDegree Of PolynomialAlgebraic ExpressionsClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(7x^4-3x^2+x-9\)

Why is this the correct answer?

In a polynomial, every exponent of \(x\) must be a non-negative integer. In option B, the greatest exponent is 4, so its degree is 4. A, C and D contain negative or fractional exponents. Exam tip: check exponents first.

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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