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If (a=0) in (p(x)=ax^3+2x-1), what will be the degree of the polynomial?

Answer and explanation

Correct answer: 1

On substituting \(a=0\), the term \(ax^3\) becomes 0. Thus, \(p(x)=2x-1\). The highest power of \(x\) present is 1, so the degree of the polynomial is 1. It is not 3 because the coefficient of \(x^3\) is zero. Exam tip: Ignore terms whose coefficients become zero while finding the degree.

Related tags

PolynomialsDegree Of PolynomialZero CoefficientParameterAlgebraDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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