Algebra 2 Ch.6 Notes Page 40 P40 6-2 Polynomials and Linear Functions.

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Algebra 2 Ch.6 Notes Page 40 P40 6-2 Polynomials and Linear Functions

Factored Form = (x + 1)(x + 2)(x + 3) Writing Polynomials in Standard Form Factored Form = (x + 1)(x + 2)(x + 3) Where are the Zeros or (X-Intercepts)? Distribute and Simplify (x + 1)(x + 2)(x + 3)

6x3 - 15x2 - 36x 2x3 + 10x2 + 12x Writing Polynomials in Factored Form (Use Factoring Patterns from Ch.5) 2x3 + 10x2 + 12x 6x3 - 15x2 - 36x

Finding Relative Maximums and Minimums of a Function Graphing Calculator A Relative Max or Min is the largest or smallest y value within a given region of the graph of the function. x(x - 3)(x + 2)

Word Problem A rectangluar box can have a length that is 10in greater than its depth. To meet shipping requirements, the sum of the length, width, and depth cannot exceed 40in. Find a function that relates Volume to Depth. Find the X-Intercepts (Zeros) of the Function. Find the Maximum Volume of the Box. D = L = W =

Use Zero Product Property Finding Zeros Use Zero Product Property (x - 2)(x + 1)(x + 3) Zeros =

Writing a Function from its Zeros (x )(x )(x )

Multiplicity of Zeros A Repeated Value that gives you same Zero... (x + 1)(x - 3)(x - 3) Zeros are -1 and 3 3 has a multiplicity of 2

the homework. Also include the homework number. HW #42 6-2 P317 #1,2,5,7,8,10,13,15ab,19-22,29,30,32,36 Please put your name and class period at the top of the homework. Also include the homework number.