The polynomials are the complete set of rational numbers exponents. They are algebraic expressions. Whereas in the polynomial, the variable exponent is the whole number.
Example of a polynomial:
2x + 2x + 3.
4x+3√x is not a polynomial because the 1/2 exponent of x is not a set of whole numbers.
Polynomial types:
Generally, there are three types of polynomials. These are given below:
Monomial:
Monomials are the terms that only consist of one term, i.e., 3x, 5x, etc.
Binomial:
Binomials are the terms that consist of two terms, i.e., 4x + 3, 5x + 5.
Trinomial:
Trinomials consist of more than two terms, i.e., x2+3x+4.
Degree of a polynomial:
The polynomial degree is the highest power that is present in the equation.
Zero of a polynomial:
When the value of the equation results in a zero, it is known as the zero of a polynomial.
Like p(x) at x = 0, then p(x) = 0 and that is known as the zero of the polynomial.
Polynomial zero algorithms:
In the division algorithm of polynomials, two polynomials are given.
Like p(y) and g(y) are the two polynomials in which g(y) is not equal to zero.
Then it can be found with p(y) = g(y). q(y). r(y), in which r(y) = 0.