...Monomials and Polynomials A monomial is a number, a variable, or a product of numbers and variables raised to natural number powers. Examples of monomials: [pic] The degree of monomial is the sum of the exponents of the variables. If the monomial has only one variable, its degree is the exponent of that variable. The number in a monomial is called the coefficient of the monomial. Determine whether the expression is a polynomial. If it is, state how many terms and variables the polynomial contains and its degree. a. 9y2 + 7y + 4 b. 7x4 – 2x3y2 + xy – 4y3 c. [pic] Solution a. The expression is a polynomial with three terms and one variable. The term with the highest degree is 9y2, so the polynomial has degree 2. b. The expression is a polynomial with four terms and two variables. The term with the highest degree is 2x3y2, so the polynomial has degree 5. c. The expression is not a polynomial because it contains division by the polynomial x + 4. multiply monomials [pic][pic][pic][pic] [pic][pic] [pic][pic][pic] multiply polynomials [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] Product of a Sum and Difference [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] Division by a Monomial [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] Factoring [pic] [pic] [pic] [pic] [pic] [pic] Factoring Trinomial [pic] [pic] [pic] [pic] [pic] ...
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...MTH209 Week 3 Chapter 5 Name: Score: Show all work, as your work will be graded on both your final answer and on the process that you used. Points will be assigned as follows. Feel free to make the table bigger as needed to fit your work in. Full credit – Solution correct and work shown where appropriate. Partial credit – Solution correct, but little work shown. Partial credit – Solution incorrect, all work shown where appropriate. No credit – No attempt at a solution or incorrect solution with little work shown. |Text |Problem |Your Solution |Instructor | | | | |Notes | |5.1 #94 |[pic] |We have the area of a rectangle [pic], | | | |[pic] |to find the length: | | | | |[pic] Centimeters. | ...
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