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Algebra 2 Name:__________________________ 1. A ____________ is a number or product of numbers and variables with whole number exponents. a. Give three examples of monomials: __________________________________ b. Discuss why each of the following are NOT monomials: 3m + 2, m1.25, 3x, 2. A __________________ is a monomial or a sum or difference of monomials. a. Each monomial in a polynomial is a ________________ 3. The degree of a ________________ is given by the term with the _____________ a. State the degree of each polynomial: 4x + 2x2 – 7 + x3: ___ 4x5 + 3: ____ 2x:____ 5. Polynomials are written in standard form when: __________________________________ 6. In standard form, the coefficient of the first term is called the__________________. Algebra 2 Name:__________________________ 1. A ____________ is a number or product of numbers and variables with whole number exponents. a. Give three examples of monomials: __________________________________ b. Discuss why each of the following are NOT monomials: 3m + 2, m1.25, 3x 2. A __________________ is a monomial or a sum or difference of monomials. a. Each monomial in a polynomial is a ________________ 3. The degree of a ________________ is given by the term with the _____________ a. State the degree of each polynomial: 4x + 2x2 – 7 + x3: ___ 4x5 + 3: ____ 2x:____ 5. Polynomials are written in standard form when: __________________________________ 6. In standard form, the coefficient of the first term is called the__________________. Let’s see how well you were paying attention… 1. Use your notes from the front to help you analyze the following polynomials. Identify the degree, number of terms, and leading coefficient. For “f” , find the degree of the numerator and denominator. a. 4x3 + 2x – 1 b. 7x3 – 11x + x5 – 2 c. 9 – 5x4 d. x4(2 + 2x) e. -3(x3 – 2x6) f. f ( x) 3x 4 x 2 2 4x 2 Let’s see how well you were paying attention… 1. Use your notes from the front to help you analyze the following polynomials. Identify the degree, number of terms, and leading coefficient. For “f” , find the degree of the numerator and denominator. a. 4x3 + 2x – 1 4 d. x (2 + 2x) b. 7x3 – 11x + x5 – 2 3 6 e. -3(x – 2x ) c. 9 – 5x4 3x 4 x 2 2 f. f ( x) 4x 2