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Subjects
Class 9MathematicsIntroduction to PolynomialsDegree of a PolynomialHard
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Suppose \(p(x)\) and \(q(x)\) are non-zero polynomials, each of degree 5. Which of the following expressions must have degree 10?

Answer and explanation

Correct answer: \(p(x)q(x)\)

For non-zero polynomials, the degree of a product equals the sum of their degrees: \(5+5=10\). In a sum or difference, leading terms may cancel. Exam tip: add degrees only for multiplication.

Related tags

PolynomialsDegree Of PolynomialPolynomial MultiplicationLeading TermClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics
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10 more MCQs
  1. 1What is the highest power in the expression 2x^3 - 5x + 1?
  2. 2Which of the following is a polynomial in (x) but not a linear polynomial in (x)?
  3. 3Which expression is a polynomial but does not have degree (2)?
  4. 4In p(t) = 2t⁴ − 7t² + 3, which term determines the degree?
  5. 5Which option correctly gives a polynomial in (x) and its degree?
  6. 6Which expression is a polynomial but not a quadratic polynomial?
  7. 7Which option correctly shows a polynomial in (x) and its degree?
  8. 8Which expression is a polynomial but does not have degree (1)?
  9. 9Which expression is a polynomial of degree (6)?
  10. 10Which of the following polynomials has an undefined degree?
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