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Class 9MathematicsIntroduction to PolynomialsDegree of a PolynomialHard
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If \(p(x)\) has degree 4 and \(q(x)\) has degree 2, which of the following statements is always true?

Answer and explanation

Correct answer: The degree of \(p(x)+q(x)\) will be 4

Since \(q(x)\) cannot contain an \(x^4\) term, it cannot cancel the leading \(x^4\) term of \(p(x)\). Hence their sum has degree 4. Exam tip: for polynomials of unequal degrees, the sum has the higher degree.

Related tags

PolynomialsDegree Of PolynomialPolynomial AdditionLeading 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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