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[DOC File]Week 1:
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Write a polynomial function, given its zeros. Given a polynomial with integer coefficients, find all the zeros Sketch by hand a graph of a polynomial function. You might use today to reinforce the skills used yesterday, given students some time to work through a few evens in class. Then give students zeros, and ask them to write the polynomial ...
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[DOC File]Polynomial Functions and End Behavior
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Write the polynomial in factored form and determine the zeros of the function. List the multiplicity of each zero. (You will need to use the quadratic formula.) 2. Let . a. List all the possible rational roots. (p/q’s) Use a calculator to help determine which values …
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[DOC File]OUTLINE FOR A SAMPLE LESSON PLAN
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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]Advanced Algebra 2: Unit 8 – Polynomial Functions Review
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(Use a calculator.) 11. To the nearest tenth, find a relative maximum for f(x) = x3 ( 3x ( 3. 12. For y = x(x + 3)(x ( 1)2, determine the zeros and their multiplicity. 13. Write a polynomial function with zeros 1 and 2 (of multiplicity 3). 14. Determine if the degree of the functions graphed below is even or odd. How many real zeros does each have?
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[DOC File]Pre-Test 4 (Chapters 5 – 6)
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For the polynomial function f(x) = 4(x + 4)(x + 3)3: List each real zero and its multiplicity Determine whether the graph crosses or touches the x-axis at each x-intercept.
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[DOC File]POLYNOMIAL PATTERNS Learning Task:
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polynomial function. is defined as a function, , where the coefficients are real numbers. ... Check the roots by generating a graph of this equation using your calculator. For other polynomial functions, we will not be able to draw upon our knowledge of factoring quadratic functions to find roots. ... If we are given the real zeros of a ...
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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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[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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Finding Polynomials with Given Zeros. If a complex number is a zero of a polynomial function with real coefficients, then its conjugate, , is also a zero. Example: Find a polynomial function of degree 3, having the zeros 1, and . Solution: The number can be any nonzero number. The simplest function will be obtained if we let Then we have
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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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[DOC File]CHARACTERISTICS OF POLYNOMIAL FUNCTIONS
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A cubic function is a third degree polynomial function. There are also fourth, fifth, sixth, etc. degree polynomial functions. To get an idea of what these functions look like, we can graph the first through fifth degree polynomials with leading coefficients of 1.
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Polynomial function calculator given zeros