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Class 9MathematicsIntroduction to PolynomialsDegree of a PolynomialHard
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If the degree of (p(x)) is (5) and the degree of (q(x)) is (4), what will generally be the degree of (p(x)q(x))?

Answer and explanation

Correct answer: 9

For the product of two non-zero polynomials, the degree equals the sum of their degrees. Hence, \(\deg(p(x)q(x))=5+4=9\). Option 5 is only the degree of \(p(x)\), not of the product. Exam tip: add degrees when polynomials are multiplied; this rule does not apply directly to addition or subtraction.

Related tags

PolynomialsDegree Of PolynomialProduct Of PolynomialsClass 9 MathematicsAlgebraDegree 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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