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Algebra - Finding Zeroes of Polynomials
Use the Remainder Theorem to find zeros. Substitute a potential zero into f(x) and calculate the value. If the value = 0, then x is a zero of f(x). Use synthetic division to find the other polynomial factor. Continue until the polynomial factor is quadratic (x2). Use quadratic methods (factoring, quadratic formula, square root property) at this point to find the remaining two zeros.
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[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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When I solve each of these small equations I will find the zeros. y=x x 2 -2x-15 . y=x x-5 x+3 . x=0 or x-5=0 or x+3=0 . x=0 x=5 x=-3 . Build a polynomial in standard form with the following zeros. x=3 with a multiplicity of 2 and x=-1 .I know that each zero gets its own factor.
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[DOC File]Polynomial Functions: P(x) = an xn + an-1 xn-1 + an-2 xn-2
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Zeros of Polynomials Worksheet. Use the Rational Root Theorem and Descartes Rule of Signs to determine the zeros of the polynomial. Show all work on a separate piece of paper.
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[DOC File]A.APR.B.3.ZerosofPolynomials.doc
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Find the zeros of the function by solving Any real zeros are the first coordinates of the x-intercepts. Use the zeros (x-intercepts) to divide the x-axis into intervals and choose a test point in each interval to determine the sign of all function values in that interval. Find This gives the y-intercept of the function.
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[DOCX File]Without a calculator identify the zeros of the following ...
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Steps for Finding the Zeros of a Polynomial Function with Integer Coefficients: Gather General Information. Determine the degree n of the polynomial function. The number of distinct zeros of the polynomial function is at MOST n. Apply Descartes’ Rule of Signs to determine the number of possible negative real zeros of each polynomial.
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[DOC File]Algebra 2, with Trig
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Ask the students to find the real zeros of the polynomial function . They should be able to find 2 real zeros using either the rational root test and division or by dividing out roots that appear on the graphs of the calculator and then use the quadratic formula to determine the zeros of the quadratic that remains.
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[DOC File]OUTLINE FOR A SAMPLE LESSON PLAN
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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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[DOC File]Objectives
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Find all real and complex zeros of a polynomial function. Find a polynomial with integer coefficients whose zeros are given. Use the Leading Coefficient Test and the zeros of a polynomial to sketch the graph of a polynomial. Apply techniques for approximating real zeros to solve an application problem. Rational Functions
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[DOC File]Pre-Calculus/Trig 3
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Find the zeros in simplest radical form. 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 ...
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[DOC File]Graphing Polynomials Worksheet Name:
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Also record the degree of the polynomial (you will fill in the final two columns later). Function. Degree X-intercepts Zeros Number of Zeros 2 (0,0) (4,0) 0 and 4 2 These x-intercepts are called the zeros of the polynomial functions.
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How to find zeros of a polynomial