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Identify the leading coefficient of5m + 21 –6mn + 8mn3 –72n3 when it is written instandard form

Question

Identify the leading coefficient of5m + 21 –6mn + 8mn3 –72n3 when it is written instandard form

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Solution

The standard form of a polynomial is written with the terms in descending order by degree. So, let's rearrange the given polynomial in standard form:

8mn3 - 72n3 - 6mn + 5m + 21

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8mn3.

So, the leading coefficient of the polynomial is 8.

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