Problem
Consider the polynomial $\frac{1}{2} a^{4}+3 a^{3}+a$. 1) What is the coefficient of the third term? 2) What is the constant term? 1) The coefficient of the third term is 1 . 2) The constant term is $a$. 1) The coefficient of the third term is 1 . 2) The constant term is 0 . 1) There is no coefficient for the third term. 2) The constant term is 0 . 1) There is no coefficient for the third term. 2) The constant term is $a$. Submit Pass
Solution
Step 1 ：The question asks for the coefficient of the third term and the constant term in the polynomial \(\frac{1}{2} a^{4}+3 a^{3}+a\).
Step 2 ：The coefficient of a term in a polynomial is the numerical factor of the term. In the given polynomial, the third term is \(a\), and its coefficient is 1.
Step 3 ：The constant term in a polynomial is the term that does not contain any variables. In the given polynomial, there is no constant term, so the constant term is 0.
Step 4 ：Final Answer: 1) The coefficient of the third term is \(\boxed{1}\). 2) The constant term is \(\boxed{0}\).
