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Class 10MathematicsPolynomialsPolynomials in one variableHardLevel 47
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What is the coefficient of x² in the polynomial p(x) = 2x⁴ − 3x³ + 5x − 9?

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Answer and explanation

Correct answer: 0

The polynomial has no visible x²-term, which means its x²-term is 0x². Therefore, the coefficient of x² is 0. Here, −3 is the coefficient of x³ and 5 is the coefficient of x. Exam tip: The coefficient of a missing term in a polynomial is taken as 0.

Related tags

PolynomialsCoefficientMissing TermPolynomials In One Variable

Frequently asked questions

What is the correct answer to this question?

0

Why is this the correct answer?

The polynomial has no visible x²-term, which means its x²-term is 0x². Therefore, the coefficient of x² is 0. Here, −3 is the coefficient of x³ and 5 is the coefficient of x. Exam tip: The coefficient of a missing term in a polynomial is taken as 0.

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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  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 \(p(1)\)?
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