Identify each polynomial below as a monomial, bnomial, or trinomial and name the degree
x2 - 25
x2 - 6x + 7
2x + 3y - 4
bi 2
tri 2
tri 1
use "^" for powers: x^2 = x squared
How did you get the answer. For I can work it out.
To identify each polynomial as a monomial, binomial, or trinomial and name the degree, you need to understand the definitions of these terms.
A monomial is a polynomial with only one term.
A binomial is a polynomial with two terms.
A trinomial is a polynomial with three terms.
To determine the degree of a polynomial, you look at the highest exponent of the variable in the polynomial.
Let's apply this information to each polynomial:
1) x^2 - 25
This is a binomial because it has two terms. The first term is x^2, and the second term is -25. The degree of this polynomial is 2 because the highest exponent of the variable x is 2.
2) x^2 - 6x + 7
This is a trinomial because it has three terms. The first term is x^2, the second term is -6x, and the third term is 7. The degree of this polynomial is 2 because the highest exponent of the variable x is 2.
3) 2x + 3y - 4
This is a trinomial because it has three terms. The first term is 2x, the second term is 3y, and the third term is -4. Since each term contains different variables (x and y), we do not have to consider the degree in this case. The degree only applies to the variable within each term separately.
In summary:
- The polynomial x^2 - 25 is a binomial of degree 2.
- The polynomial x^2 - 6x + 7 is a trinomial of degree 2.
- The polynomial 2x + 3y - 4 is a trinomial.