Answer the questions about the following polynomial.
one sixth, plus, 3, x
6
1
+3x
The expression represents a
polynomial with
terms. The constant term is
, the leading term is
, and the leading coefficient is
.
The expression represents a monomial with 2 terms. The constant term is 6, the leading term is 3x, and the leading coefficient is 3.
The expression represents a polynomial with 2 terms. The constant term is 6, the leading term is 3x, and the leading coefficient is 1.
To answer the given questions about the polynomial expression 1/6 + 3x, let's break it down:
1. The expression represents a polynomial: A polynomial is an algebraic expression with one or more terms. Here, we have two terms, 1/6 and 3x, so the given expression represents a polynomial.
2. The polynomial has 2 terms: Counting the terms in the expression, we see that there are two terms, 1/6 and 3x.
3. The constant term is 1/6: To determine the constant term, we look for the term that does not contain a variable, or has a variable raised to the power of 0. In this case, 1/6 is the constant term.
4. The leading term is 3x: The leading term is the term with the highest degree or the term that comes last if the terms are arranged in descending order of degree. In this case, 3x is the leading term.
5. The leading coefficient is 3: The leading coefficient is the coefficient of the leading term. Here, the coefficient of 3x is 3, so the leading coefficient is 3.