Question 1 of 10, Step 1 of 2
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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
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Degree:
Leading Coefficient:
Answer
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 \(\boxed{5}\).
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 \(\boxed{5}\).
