1. A polynomial with degree 0 is called a constant polynomial. Any constant number for example, 3, 4/5, 679, 8.34 are examples of constant polynomials.
Example: : f(x) = 6, g(x) = -22 , h(y) = 5/2
2. Polynomials in one variable are algebraic expressions that are of the form axn where n is a non-negative (i.e. positive or zero) integer and a is a real number, called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial.
Example: 2
x +3x - 2
3 2
3y + 2y - y+1
4 2
m -5m +8m-3
3. Two or more terms in a polynomial are like terms if they have the same variable (or variables) with the same exponent.
Example: 3x2 3 x 2
−5x2 − 5 x 2
4. A monomial is an expression in algebra that contains one term, like 3xy. Any number all by itself is a monomial, like 5 or 2,700.
Example: A monomial can also be a variable, like "b" or "y." It can also be a combination of these, like 98b or xy.
5. A binomial is a polynomial or an algebraic expression that contains only two terms.
Example: 3x + 2, 2×2 + x, x + y
6. A trinomial is an algebraic expression that has three non-zero terms.
Example: x + y + z is a trinomial in three variables x, y and z. 2a2 + 5a + 7 is a trinomial in one variables a. xy + x + 2y2 is a trinomial in two variables x and y.
7. In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Example: 2
X - 4x + 7
