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What is the degree of (x^0+6x^4-3x^2)?

Answer and explanation

Correct answer: \(4\)

Since \(x^0=1\), the polynomial becomes \(1+6x^4-3x^2\). The highest exponent of \(x\) with a non-zero coefficient is \(4\), so its degree is \(4\). \(2\) is only the exponent in the term \(-3x^2\), not the greatest exponent. Exam tip: simplify terms such as \(x^0\) into constants before finding the degree.

Related tags

PolynomialsDegree Of PolynomialZero ExponentAlgebraClass 9 MathematicsDegree Of A PolynomialIntroduction To PolynomialsMathematics

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