Answer the questions about the following polynomial.
minus, one seventh, plus, x, squared
−
7
1
+x
2
Answer
Attempt 1 out of 2
The expression represents a
polynomial with
terms. The constant term is
, the leading term is
, and the leading coefficient is
The expression represents a polynomial with 3 terms. The constant term is -1/7, the leading term is x^2, and the leading coefficient is 1.
1. How many terms are in the polynomial?
The polynomial has 3 terms.
2. What is the constant term?
The constant term is -1/7.
3. What is the leading term?
The leading term is x^2.
4. What is the leading coefficient?
The leading coefficient is 1.
To determine the number of terms in the polynomial, we count the number of distinct terms. In this case, we have two distinct terms: "minus one seventh" and "plus x squared."
The constant term, also known as the coefficient of the term with no variable, is "-1/7".
The leading term is the highest degree term in the polynomial, which in this case is "x squared."
The leading coefficient is the coefficient of the leading term, which in this case is "1".