The degree of a polynomial is the highest exponent of the variable in the polynomial. For example, in the polynomial 3x^2 + 5x + 2, the degree is 2 because 2 is the highest exponent of x.
A monomial is a single term with a coefficient and a variable raised to a power, while a polynomial is a sum of multiple monomials. For example, 3x^2 is a monomial, while 3x^2 + 5x + 2 is a polynomial.
The roots of a polynomial are the values of the variable that make the polynomial equal to 0. To find the roots, you can use techniques such as factoring, the quadratic formula, or graphing the polynomial.
Yes, a polynomial can have multiple variables. In this case, the degree of the polynomial would be the sum of the exponents of all the variables in each term. For example, the polynomial 3x^2 + 5xy + 2y^2 has a degree of 3.
A difference polynomial is a polynomial that can be written as the difference between two other polynomials. To determine if a polynomial is a difference polynomial, you can try to factor it or see if it can be rewritten as the difference of two polynomials. If it can, then it is a difference polynomial.