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

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Answer and explanation

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

In option A, the greatest exponent of \(x\) is 4 and its coefficient is non-zero, so its degree is 4. The degrees of options B, C and D are 3, 2 and 1, respectively. Exam tip: The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient.

Related tags

Polynomial DegreePolynomials In One VariableHighest ExponentDegree Of Polynomial

Frequently asked questions

What is the correct answer to this question?

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

Why is this the correct answer?

In option A, the greatest exponent of \(x\) is 4 and its coefficient is non-zero, so its degree is 4. The degrees of options B, C and D are 3, 2 and 1, respectively. Exam tip: The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient.

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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