Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Write the polynomial in descending powers of the variable.

[tex]\[ c^6 - 5c^4 + 7c^2 \][/tex]

Sagot :

Certainly! Let's reorganize the given polynomial \( 7c^2 - 5c^4 + c^6 \) in descending powers of the variable \( c \).

1. Identify the degrees of each term:
- \( 7c^2 \) has a degree of 2.
- \( -5c^4 \) has a degree of 4.
- \( +c^6 \) has a degree of 6.

2. Arrange the terms in descending order based on their degrees:
- The highest degree is 6, so \( c^6 \) comes first.
- The next highest degree is 4, so \( -5c^4 \) comes next.
- The lowest degree of the given terms is 2, so \( 7c^2 \) comes last.

Putting it all together, the polynomial written in descending powers of the variable \( c \) is:
[tex]\[ c^6 - 5c^4 + 7c^2 \][/tex]

Thus, the rearranged polynomial is:
[tex]\[ c^6 - 5c^4 + 7c^2 \][/tex]