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SECTION 5.2 and 5.3 Monomial: An _______________ that is a _______________, a variable, or a _______________ of a constant and _______________(s) that are raised to _______________ number powers. What does the word “constant” mean? What does the word “variable” mean? What does the word “product” mean? What are “whole numbers”? Exponents can’t be ____________________ and exponents can’t be ____________________!! Is “18” a monomial? Is “-4x-3” a monomial? Coefficient of a Monomial: The _______________ factor in a _______________. Degree of a Monomial: The _______________ of the _______________ of all the _______________ in a monomial. Identify the coefficient and degree of each monomial: 8p2 -m 18 -6.7uv2 2 3a 5 42 C: D: C: D: C: D: C: D: C: D: C: D: Polynomial: A monomial or an _______________ that can be written as a _______________ of _______________. List a couple examples: Polynomial in one variable: A _______________ in which every _______________ term has the _______________ variable. List an example: Binomial: A _______________ containing _______________ terms. Trinomial: A _______________ containing _______________ terms. Degree of the Polynomial: The greatest _______________ of any of the _______________ in the _______________. Identify the type of polynomial and the degree of the polynomial for the following: 4ab2 -9x2 + z 4n3 + 3n – 1 x3 + 9x2 – x + 4 Type: Degree: Type: Degree: Type: Degree: Type: Degree: Give an example of an expression that IS NOT a POLYNOMIAL. How do you write a polynomial in descending order of degree? Give an example. Combine like terms and write the resulting polynomial in descending order of degree. 6 – a5 + 2a2b + 3b – 1 + 3a5 – 3b + a2b Evaluate the following: 3x3 – 5x2 + 8 when x = -3 Add the trinomial and the binomial below. (5p2 + 3p – 1) + (4p + 8) When we ADD polynomials, we _______________ the _______________ and _______________ like _______________. Subtract the following: (4x3 + 6x2 + 2x + 1) – (2x3 + 5x2 + 4x + 6) When we SUBTRACT polynomials, we _______________ the _______________ to _______________ term and drop the parentheses, then combine like terms. Do you have any questions in regards to Section 5.2 and 5.3 video and homework?