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 Polynomials Polynomial Vocabulary Simplifying expressions Addition Subtraction Multiplication (FOIL) Multiplication Special products Long division Synthetic division Remainder theorem Roots and factors of a polynomial Polynomial Function Polynomial Vocabulary A monomial is a number, variable, or product with non-fractional exponents. 3, 4xy, -8x, -$\frac{1}{3}$x100 are monomials 4-10, x-3=$\frac{1}{x^3}$ are not monomials A polynomial is the sum or difference of monomials. 3 is a monomial 4x+2y is a binomial 4xy-5x+8 is a trinomial The degree of a monomial is the sum of the exponents of the variables. The degree of 4xy is 2 The degree of 4x2y3 is 5 The degree of 3 is 0 The degree of a polynomial is the degree of the term with the largest degree. The degree of the polynomial 4x3+x2+x8 is 8 Standard Form of a polynomial is the list of the monomials in order from largest to smaller degree. The polynomial x8+4x3+x2 is written in its Standard Form Leading coefficient is the coefficient of the term with the largest degree. The leading coefficient of the polynimial x8+4x3+x2 is 1.