Problem

b. Suppose $g(x)=25-x^{2}$. i. What is the leading term of $g$ ? ii. What is the degree of $g$ ? Preview iii. What is the leading coefficient of $g$ ? Preview

Solution

Step 1 :Let's consider the function \(g(x)=25-x^{2}\).

Step 2 :The leading term of a polynomial is the term with the highest degree. In this case, the leading term of \(g\) is \(-x^{2}\).

Step 3 :The degree of a polynomial is the highest power of the variable in the polynomial. Therefore, the degree of \(g\) is \(2\).

Step 4 :The leading coefficient of a polynomial is the coefficient of the leading term. Here, the leading coefficient of \(g\) is \(-1\).

Step 5 :\(\boxed{\text{i. The leading term of } g \text{ is } -x^{2}}\)

Step 6 :\(\boxed{\text{ii. The degree of } g \text{ is } 2}\)

Step 7 :\(\boxed{\text{iii. The leading coefficient of } g \text{ is } -1}\)

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Source: https://solvelyapp.com/problems/19969/

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