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With respect to \(z\), what is the degree of \(7x^4z^8-6x^2z^6+5x^3-4\)?

Answer and explanation

Correct answer: \(8\)

To find the degree with respect to \(z\), look at the powers of \(z\) in each term: \(7x^4z^8\) has \(z^8\), \(-6x^2z^6\) has \(z^6\), and \(5x^3-4\) has \(z^0\) (no \(z\) factor). The highest power of \(z\) is \(8\). So the degree with respect to \(z\) is \(8\).

Related tags

Degree In One VariableWith Respect To ZPolynomialHighest Power

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