descending order of exponents

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descending order of exponents Monomial: a ___________, a ______________ or the product of __________________________________________. Examples: Note: The example is a monomial, but the expression is not a monomial because there is a variable in the denominator. Polynomial: a _______________ or the sum or difference of _______________________________________ Binomial: a polynomial of __________________ Trinomial: a polynomial of __________________ Standard form: polynomial terms are written in ___________________________________________ Degree of Monomial: the ________ of the ______________________________ Degree of Polynomial: the ______________________________________ in the polynomial Coefficient: the _____________ in front of a variable (Note! _____________________________) Leading Coefficient: in standard form, it is the _________________________________ Constant: a ________________________, no variables attached (found at the _______ in standard form) number variable a number and one or more variables monomial one or more monomials two terms three terms descending order of exponents sum exponents in the term largest degree (or exponent) number ones are invisible! first coefficient plain number end

Name Using Number Name Using Classifying Polynomials: after simplifying a polynomial, you can name it based on its degree and number of terms Name Using Number Name Using Polynomial Degree Degree of Terms Number of Terms 7x + 4 3x2 + 2x + 1 4x3 9x4 + 11x 5 Find the degree of each monomial. 1. 2. 3. Name the expression based on its degree and number of terms. 4. 5. 6. Write each polynomial in standard form then name each one based on its degree and number of terms. 7. 8. 9.