# Section R4

Published on September 10, 2007

Author: linlic

Source: authorstream.com

Sullivan Algebra and Trigonometry: Section R.4Polynomials:  Sullivan Algebra and Trigonometry: Section R.4 Polynomials Objectives of this Section Recognize Monomials Recognize Polynomials Add, Subtract, and Multiply Polynomials Know Formulas for Special Products Slide2:  A monomial in one variable is the product of a constant times a variable raised to a nonnegative integer power. Thus, a monomial is of the form: where a is a constant, x is a variable, and k &gt; 0 is an integer. Slide3:  Examples of Monomials Slide4:  A polynomial in one variable is an algebraic expression of the form Slide5:  Example: Coefficients: 2, 0, -3, 1, -5 Degree: 4 Slide6:  Polynomials are added and subtracted by combining like terms. Example: Addition Slide7:  Example: Subtraction Slide8:  Polynomial multiplication can be done by using the distributive property multiple times. Example: Multiplication Slide9:  Special Product Formulas Difference of Two Squares Squares of Binomials, or Perfect Squares Slide10:  Special Product Formulas Miscellaneous Trinomials Cubes of Binomials, or Perfect Cubes Slide11:  Special Product Formulas Difference of Two Cubes Sum of Two Cubes Slide12:  Polynomials in Two Variables The degree of a polynomial in two variables is the highest degree of all the monomials with nonzero coefficients. The degree of each monomial is the sum of the powers of the variables.

25. 09. 2007
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