You will be able to write a polynomial in standard form, identify the degree and classification of the polynomial. Monomial: A number 5 a variable x the product of a number and one or more variables. 3x Polynomials A polynomial a monomial, or the sum and/or difference of monomials A term is part of an algebraic expression separated by addition or subtraction signs. A term is a monomial!! Coefficient: A number in front of the variable in the expression NOT a Polynomial Variable in the denominator / Variable with a negative exponent Variable in the exponent Variable under a radical Binomial A polynomial with exactly two terms using addition or subtraction. Trinomial A polynomial with exactly three terms using addition and subtraction. The expression 4x +3x + 5 is a trinomial because it has three terms. Degree of a monomial: the sum of the exponents of the variable. Degree of a polynomial: 1.Find the degree of each term 2.Pick the largest one Standard form: When the terms of a polynomial are arranged from the largest exponent to the smallest exponent in decreasing order. This is a 0 degree polynomial. We called this a constant. A constant has no variable. This is a 1 st degree polynomial. 1 st degree polynomials are linear. This is a 2 nd degree polynomial. 2 nd degree polynomials are quadratic. This is a 3 rd degree polynomial. 3 rd degree polynomials are cubic. This is a 4 th degree polynomial. 4 th degree polynomials are quartic. This is a 5 th degree polynomial. 5 th degree polynomials are quintic. PolynomialClassify by degreeClassify by number of terms ConstantMonomial LinearBinomial QuadraticBinomial CubicTrinomial QuarticMonomial QuinticTrinomial Classify the polynomials by degree and number of terms. Write the polynomials in standard form. Write the polynomials in standard form and identify the polynomial by degree and number of terms This is a 3 rd degree, or cubic, trinomial. This is a 2 nd degree, or quadratic, trinomial.