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Class 10 Mathematics Polynomials Polynomials in one variableMediumLevel 47

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Which of the polynomials x^2+1, x^3+x, and 5x-2 has the least degree?

Answer and explanation

Correct answer: (5x-2)

The degree of a polynomial is the highest power of its variable. Here, the degrees of x^2+1, x^3+x, and 5x-2 are 2, 3, and 1, respectively. Therefore, 5x-2 has the least degree. Exam tip: a polynomial of the form ax+b, where a is nonzero, is linear and has degree 1.

Related tags

Polynomial Degree Linear Polynomial Quadratic Polynomial Cubic Polynomial Polynomials In One Variable

Frequently asked questions

What is the correct answer to this question?

(5x-2)

Why is this the correct answer?

The degree of a polynomial is the highest power of its variable. Here, the degrees of x^2+1, x^3+x, and 5x-2 are 2, 3, and 1, respectively. Therefore, 5x-2 has the least degree. Exam tip: a polynomial of the form ax+b, where a is nonzero, is linear and has degree 1.

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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