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What is the total degree of (x^3y^2z^5+2x^4yz^3-6)?

Answer and explanation

Correct answer: 10

The total degree of a polynomial is the greatest sum of the exponents of the variables in any one term. For x^3y^2z^5, the sum is 3+2+5=10; for 2x^4yz^3, it is 4+1+3=8; and the constant term -6 has degree 0. Hence, the total degree is 10. Option 8 is the degree of the second term, not of the whole polynomial. Exam tip: Find the sum of exponents in each term separately, then choose the greatest sum.

Related tags

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

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