QuestionFind the leading coefficient of the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ .

Studdy Solution

STEP 1

Assumptions1. The given polynomial is $-8y^{7}-y^{3}+8+y^{6}$ . . The leading coefficient is the coefficient of the term with the highest degree.
3. The degree of a term is the sum of the exponents of the variables in it.

STEP 2

First, we need to rewrite the polynomial in descending order of degree. This means we start with the term with the highest exponent and end with the term with the lowest exponent.
$-8y^{7}+2y^{6}-y^{}+8$

STEP 3

Now, we identify the term with the highest degree. In this case, it is $-8y^{7}$ .

STEP 4

The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is $-8$ .
The leading coefficient of the polynomial $-8y^{7}+2y^{6}-y^{3}+8$ is $-8$ .

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