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What is the leading term in (5x^6-4x^4+x^2-9)?

Answer and explanation

Correct answer: \(5x^6\)

The leading term of a polynomial is the term with the greatest exponent of the variable. In the given polynomial, the exponents of \(x\) are \(6, 4, 2\), and \(0\). Since \(6\) is the greatest exponent, \(5x^6\) is the leading term. Although \(-4x^4\) is also a term, its exponent is only \(4\). Exam tip: Identify the term with the highest power when the polynomial is written in descending order of powers.

Related tags

PolynomialsLeading TermDegree Of PolynomialAlgebraClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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