Explanation:
First, we define the required terms below:
• The degree of a function is the highest power in the function.
,
• The leading term is the term that contains the degree.
,
• The leading coefficient is the coefficient of the variable in the leading term.
Part A
Given the function:
[tex]\begin{gathered} \begin{equation*} f(c)=2c^4-8c^1-6c^5 \end{equation*} \\ Degree:5 \\ Leading\text{ term:}-6c^5 \\ \text{ Leading Coefficient: }-6 \end{gathered}[/tex]
Part B
Given the function:
[tex]\begin{equation*} g(p)=17p^4+17p^6+11p^2 \end{equation*}[/tex]
Arrange in descending power of p.
[tex]\begin{gathered} g(p)=17p^6+17p^4+11p^2 \\ \implies Degree:6 \\ Leading\text{ Term: }17p^6 \\ \text{ Leading coefficient: }17 \end{gathered}[/tex]
Part C
Given the function:
[tex]\begin{equation*} h(p)=-7p^{11}+7p^{21}-18p^{17} \end{equation*}[/tex]
Arrange in descending power of p.
[tex]\begin{gathered} h(p)=7p^{21}-18p^{17}-7p^{11} \\ Degree=21 \\ Leading\;Term=7p^{21} \\ Leading\;Coefficient=7 \end{gathered}[/tex]
