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What is the total degree of the polynomial (2x^3y^2+5xy-7)?

Answer and explanation

Correct answer: 5

The total degree of a polynomial is the greatest sum of the exponents of variables in any one term. For 2x^3y^2, the sum is 3+2=5; for 5xy, it is 1+1=2; and the constant term -7 has degree 0. Hence, the highest total degree is 5. Note that 3 is only the exponent of x, not the total degree. Exam tip: In each term with two or more variables, add all exponents and select the greatest sum.

Related tags

PolynomialsTotal DegreeMultivariable PolynomialDegree Of PolynomialClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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