QuestionRewrite the polynomial $-8 y^{7}-y^{3}+8+2 y^{6}$ in descending order.

Studdy Solution

STEP 1

Assumptions1. The polynomial is $-8 y^{7}-y^{3}+8+ y^{6}$ . The polynomial needs to be expressed in descending order. Descending order means arranging the terms of the polynomial from highest degree to lowest degree.

STEP 2

First, identify the degree of each term in the polynomial. The degree of a term is the exponent of the variable in the term.In our polynomial, the degrees are as follows- The degree of $-8 y^{7}$ is7- The degree of $-y^{}$ is- The degree of $8$ is0 (since it's a constant term with no variable) - The degree of $2 y^{6}$ is6

STEP 3

Now, arrange the terms of the polynomial in descending order of their degrees. The term with the highest degree should come first, followed by the term with the next highest degree, and so on, until the term with the lowest degree.
The polynomial in descending order is $-8 y^{7} +2 y^{6} - y^{3} +8$

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