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If (a=8) and (b=13) in (4x^a+6x^b+1), what is the degree?

Answer and explanation

Correct answer: 13

On substituting a=8 and b=13, the polynomial becomes 4x^8+6x^13+1. The degrees of its terms are 8, 13, and 0. Since 13 is the highest exponent of x, the degree of the polynomial is 13. Note that 6 is only the coefficient of x^13, not the degree. Exam tip: identify the largest exponent of the variable after simplifying or substituting values.

Related tags

PolynomialsDegree Of PolynomialExponentsAlgebraClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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