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Determine the degree and the leading coefficient of the polynomial

Determine the degree and the leading coefficient of the polynomial-example-1
Determine the degree and the leading coefficient of the polynomial-example-1
Determine the degree and the leading coefficient of the polynomial-example-2

1 Answer

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The degree of a polynomial is equal to the greatest exponent of the variable of the polynomial that appears among its terms.

On the other hand, the leading coefficient of a polynomial is the coefficient of the term that displays the greatest exponent.

In this case, the polynomial is formed by three terms: -x, 8x² and -9x³.

The exponents of the variable x on those terms are 1, 2 and 3.

Since the greatest exponent is 3, then the degree of the polynomial is 3.

The coefficient of the term with the exponent 3 is -9, then the leading coefficient is -9.

Therefore, the answers are:

Degree: 3

Leading coefficient: -9

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