Answer the questions about the following polynomial.
minus, 2, minus, 9, x, to the power 4 , minus, start fraction, x, divided by, 5, end fraction
The expression represents a
polynomial with
terms. The constant term is
, the leading term is
, and the leading coefficient is
.
The expression represents a 5th degree polynomial with 3 terms. The constant term is -2, the leading term is -9x^4, and the leading coefficient is -9.
The expression represents a polynomial with 4 terms. The constant term is -2, the leading term is -9x^4, and the leading coefficient is -9.
To answer this question, let's break down the given polynomial step by step:
Given polynomial: -2x^4 - (x/5) - 9
1. Polynomial type: The given expression is a polynomial because it consists of one or more terms that include variables raised to non-negative integer exponents.
2. Number of terms: Count the number of terms in the expression. In this case, the expression has three terms: -2x^4, -(x/5), and -9.
3. Constant term: The constant term is the term that does not include any variables. In this case, the constant term is -9.
4. Leading term: The leading term is the term with the highest exponent of the variable. In this case, the leading term is -2x^4.
5. Leading coefficient: The leading coefficient is the coefficient of the leading term. In this case, the leading coefficient is -2.
So, the answers to the questions about the given polynomial are:
- The expression represents a polynomial.
- The expression has three terms.
- The constant term is -9.
- The leading term is -2x^4.
- The leading coefficient is -2.