Question
Determine if the expression 7y-6y^2-y^5
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression ______ a polynomial. The polynomial is a _____
and has a degree of ______.
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression ______ a polynomial. The polynomial is a _____
and has a degree of ______.
Answers
GPT-4o mini
The given expression \( 7y - 6y^2 - y^5 \) is a polynomial.
To determine the type and degree:
- The expression is a polynomial because it consists of terms that are powers of \( y \) with real coefficients.
- The terms are \( 7y \) (degree 1), \( -6y^2 \) (degree 2), and \( -y^5 \) (degree 5). The highest power of \( y \) in the expression is 5, which defines the degree of the polynomial.
Thus, we can fill in the blanks as follows:
The given expression **is** a polynomial. The polynomial is a **trinomial** and has a degree of **5**.
To determine the type and degree:
- The expression is a polynomial because it consists of terms that are powers of \( y \) with real coefficients.
- The terms are \( 7y \) (degree 1), \( -6y^2 \) (degree 2), and \( -y^5 \) (degree 5). The highest power of \( y \) in the expression is 5, which defines the degree of the polynomial.
Thus, we can fill in the blanks as follows:
The given expression **is** a polynomial. The polynomial is a **trinomial** and has a degree of **5**.