Zeros of a polynomial function

• [DOC File]OUTLINE FOR A SAMPLE LESSON PLAN

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  Find all real and complex zeros of a polynomial function. Warm Up Example or Activity: [20 minutes] Give a polynomial of degree 3 with integer coefficients and one rational root. Use the rational root theorem and synthetic division to find that root. Then use the quadratic formula to …

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• [DOC File]Polynomial Functions: P(x) = an xn + an-1 xn-1 + an-2 xn-2

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  For an EVEN degreed polynomial, there is 1 y-intercept and could be no x-intercepts. Knowing the degree of the polynomial function also tells us exactly the number of zeros / roots of a polynomial function (some may be complex) and the maximum number of possible turning points (local extremas, minimum / maximums).

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• [DOC File]Chapter 3 – Solving Equations

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  n Zeros Theorem (page 383) Every polynomial of degree n can be expressed as a product of n linear factors so has n linear factors, not necessarily distinct. Look at examples a. through e. on page 383. Example: Solve . Complex Zeros Occur in Conjugate Pairs . Let be a polynomial function …

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• [DOC File]STANDARD

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  Determine a factored form of a polynomial expression from the x-intercepts of the graph of its corresponding function. For a function, identify zeros of multiplicity greater than 1 and describe the effect of those zeros on the graph of the function. Given a polynomial equation, determine the number of real solutions and nonreal solutions.

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• [DOC File]Columbia Public Schools / Home

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  Zeros: _____ Finding Domain, Range, Relative Max/Min, Intervals of Increasing/Decreasing of Graphs. Directions: For each graph of a function, state the domain, range, the relative minimums and maximums, and the intervals on which the function is increasing/decreasing/constant. Also state the coordinates of the zeros of the function. 1.

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• [DOC File]Algebra 2, with Trig

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  The Number of Zeros of a Polynomial Function Theorem: If is a polynomial function of degree , then has exactly n complex . zeros, provided each zero is counted according to its multiplicity. EX 1] Find all zeros of the polynomial function and write the polynomial as a …

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• [DOCX File]Polynomial Functions

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  Oct 14, 2014 · Zeros and Roots of a Polynomial Function: Homework. For each graph below and its given degree, name the real zeros and their multiplicity, and state the number of imaginary zeros. 214.215.216. 3rd degree4th degree6th degree.

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• [DOC File]Algebra 1 – Unit 4 – ELL Scaffold

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  Speaking Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. Explain how to determine and use the zeros of a polynomial to sketch the function using Sentence Frames, Teacher Modeling, and …

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• [DOC File]A.APR.B.3.ZerosofPolynomials.doc

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  18 What are the zeros of the polynomial function graphed below? 19 Which polynomial function has zeros at , 0, and 4? 20 The zeros of the function are. 21 Explain how to determine the zeros of . State the zeros of the function. 22 Determine algebraically the zeros of . 1 ANS: 3 REF: spr1302ai. 2 ANS: A and C, only. REF: 011909ai.

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• [DOC File]Graphing Polynomials Worksheet Name:

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  I. Sketch the following polynomials on the axis provided. Find all the zeros for each polynomial, indicate any multiplicities other than 1, and determine end behavior. 1) 2) 3) Leading term _____ Leading term _____ Leading term _____

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