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Class 10MathematicsPolynomialsPolynomials in one variableEasyLevel 47
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A student says that \(p(x)=7x^2-3x+5\) is a linear polynomial because it also contains an \(x\)-term. What is the student’s error?

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Answer and explanation

Correct answer: The degree is determined by the highest exponent; here it is 2, so this is a quadratic polynomial.

The degree of a polynomial is the highest exponent of its variable. In \(7x^2-3x+5\), the highest exponent is 2, so it is quadratic. A constant term or a negative coefficient is allowed. Exam tip: identify the highest power first.

Related tags

PolynomialsOne VariableDegree Of PolynomialQuadratic PolynomialMisconceptionClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

The degree is determined by the highest exponent; here it is 2, so this is a quadratic polynomial.

Why is this the correct answer?

The degree of a polynomial is the highest exponent of its variable. In \(7x^2-3x+5\), the highest exponent is 2, so it is quadratic. A constant term or a negative coefficient is allowed. Exam tip: identify the highest power 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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10 more MCQs
  1. 1If (p(x)=x^2-8x+10), what are its zeroes?
  2. 2Which option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?
  3. 3Which expression is a polynomial in one variable (x)?
  4. 4What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
  5. 5What is the constant term of the polynomial \(7x^2+5x-11\)?
  6. 6What is the coefficient of x^2 in 5x^4 − 3x^2 + x − 6?
  7. 7Which polynomial is a quadratic polynomial?
  8. 8Which expression is not a polynomial?
  9. 9For the polynomial \(p(x)=2x^2-3x+1\), what is the value of \(p(1)\)?
  10. 10How many terms are there in q(x) = x^3 + 2x^2 − x + 4?
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