Polynomials Monomial---1 term A number, variable or the product of a number and a variable Terms Monomials separated by addition or subtraction signs A monomial or the sum of monomials Binomial---2 terms Trinomial---3 terms
Degree of a term the sum of the exponents of the variables of a term Standard Form (descending order) Polynomials written greatest to least by degree 6x 3 - 4x 2 + 6x - 7
(2x 3 + 5x 2 – 3x) - (x 3 – 8x ) Adding/Subtracting Polynomials Distribute (-1) if necessary Rewrite vertically Combine like terms (2x 3 + 5x 2 – 3x) (-x 3 + 8x 2 – 11x) x3x3 + 13x 2 – 14x (4x 2 + 6x + 7) + (2x 2 – 9x + 1) 6x 2 - 3x + 8 (4x 2 + 6x + 7) + (2x 2 – 9x +1)