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If (a=6) and (b=10) in (3x^a+2x^b+1), what is the degree?

Answer and explanation

Correct answer: 10

Substituting a=6 and b=10 gives the polynomial 3x^6+2x^10+1. The degree of a polynomial is the greatest exponent of x in any of its terms. The greatest exponent is 10, so its degree is 10. Although 16 is the sum of the exponents, exponents are not added to find the degree of a polynomial. Exam tip: identify the exponent of the variable in every term and select the greatest one.

Related tags

PolynomialsDegree Of PolynomialExponentsClass 9 MathematicsAlgebraDegree Of A PolynomialIntroduction To PolynomialsMathematics

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