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If \(a=0\) and \(b\neq0\), what will be the degree of \(ax^8+bx^6-5x+2\)?

Answer and explanation

Correct answer: 6

On substituting \(a=0\), \(ax^8=0\), so the \(x^8\) term disappears. Since \(b\neq0\), \(bx^6\) remains a non-zero term. The remaining terms have powers \(1\) and \(0\), so the highest power is \(6\). Option 8 is incorrect because its coefficient becomes zero. Exam tip: Remove terms with zero coefficients before finding the degree.

Related tags

PolynomialsDegree Of PolynomialZero CoefficientParametersClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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