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 $a$.
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Answer
Final Answer: 1) The coefficient of the third term is \(\boxed{1}\). 2) The constant term is \(\boxed{0}\).
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 \(\boxed{0}\).
