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Class 9MathematicsIntroduction to PolynomialsDegree of a PolynomialHard
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With respect to (x), what is the degree of (8x^6y^9-3x^4y^2+5y-7)?

Answer and explanation

Correct answer: 6

To find the degree with respect to x, treat y as part of the coefficient. The powers of x in the given expression are 6, 4, 0, and 0. The greatest power is 6, so the degree of the polynomial with respect to x is 6. The number 9 is the power of y, not the degree with respect to x. Exam tip: Look only at the highest exponent of the variable named in the question.

Related tags

PolynomialsDegree Of PolynomialDegree In XVariablesAlgebraDegree 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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