Problem

Question 1 of 10, Step 1 of 2 $0 / 14$ Correct Consider the following polynomial. \[ s(x)=5 x^{2}+4 x-12 \] Step 1 of 2: Find the degree and leading coefficient of $s(x)$. Answer How to enter your answer (opens in new window) Degree: Leading Coefficient:

Solution

Step 1 :Identify the highest power of the variable in the polynomial \(s(x)=5x^{2}+4x-12\). This is the degree of the polynomial.

Step 2 :The highest power of the variable x in the polynomial \(s(x)=5x^{2}+4x-12\) is 2. Therefore, the degree of the polynomial is \(\boxed{2}\).

Step 3 :Identify the coefficient of the term with the highest degree in the polynomial \(s(x)=5x^{2}+4x-12\). This is the leading coefficient of the polynomial.

Step 4 :The coefficient of the term with the highest degree (which is \(x^{2}\)) in the polynomial \(s(x)=5x^{2}+4x-12\) is 5. Therefore, the leading coefficient of the polynomial is \(\boxed{5}\).

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