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Subjects
Class 10MathematicsPolynomialsPolynomials in one variableMediumLevel 48
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For the polynomial \(p(x)=x^2-8x+13\), what is the value of \(p(0)\)?

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Answer and explanation

Correct answer: 13

Substituting \(x=0\) gives \(p(0)=0^2-8(0)+13=13\), so the correct answer is 13. When \(x=0\), all terms containing \(x\) become zero, leaving only the constant term. Exam tip: \(p(0)\) is directly equal to the constant term of the polynomial.

Related tags

Polynomial EvaluationConstant TermSubstitutionPolynomials In One Variable

Frequently asked questions

What is the correct answer to this question?

13

Why is this the correct answer?

Substituting \(x=0\) gives \(p(0)=0^2-8(0)+13=13\), so the correct answer is 13. When \(x=0\), all terms containing \(x\) become zero, leaving only the constant term. Exam tip: \(p(0)\) is directly equal to the constant term of the polynomial.

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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