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[DOC File]Robert Lindblom Math & Science Academy
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Sep 29, 2011 · The graph showing your polynomial function MUST be printed from the calculator. you can use TI Connect or Online Calculator. Graph print out MUST have . the x-axes and the y-axes labeled with zeroes and the y-intercept clearly labeled. you must show the window settings used to create the graph. ALL 10 parts of the report MUST be labeled !
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[DOC File]In this chapter, you will be able to:
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Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function. Find the Real Zeros of a Polynomial Function. Solve Polynomial Equations. Add, Subtract, Multiply, and Divide Complex Numbers. Solve Quadratic Equations with a Negative Discriminant. Utilize the Conjugate Pairs Theorem to find the Complex Zeros of a ...
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[DOC File]Intermediate Value Theorem: Given real numbers a & b where ...
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Find a polynomial with rational coefficients with zeros 2, 1 + , and 1 – i. Intermediate Value Theorem (IVT): Given real numbers a & b where a < b. If a polynomial function, f, is such that f(a) ≠ f(b) then in the interval [a, b] f takes on every value between f(a) to f(b). Examples: First use your calculator to find the zeros of .
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Activity overview:
The rational roots will result in y-values of 0. For each polynomial given, use the Rational Root Theorem to list the possible rational zeros. When you have the possible zeros, use the calculator to determine which values are actual zeros of the function. Function. Possible Zeros. Actual Zeros. One of the Many Ways
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[DOC File]Graphs of Rational Functions
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Sep 06, 2012 · Zeros (where the function crosses the x-axis) Zero’s occur when there are x (domain) values that cause the numerator to equal zero (as well as the whole function at that point). Example. 1 Find the zeros then graph the function on your calculator to see the rest of the function. Sketch the function. Practice 1 :Find the zeros of , then using ...
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[DOC File]Long Branch Public Schools
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16. Reed wants to find out when the coaster dips below the ground. Use the Rational Zeros Test to identify all possible rational zeros of . 17. Use synthetic division to locate all real zeros of this function. Clearly interpret the real-world meaning of these zeros. 18. Are there any non-real zeros for this polynomial? If so, identify them.
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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 are the roots and perform synthetic division with those roots.
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[DOC File]Worksheet - Madison West High School
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Graph the function on your calculator to check your answers. When the zeros are all integers it is easy to use the calculator, but if they are not all integers it is hard to tell if it factors or if the solutions are irrational, (i.e. one of the factors is a quadratic that can’t be reduced further using only integer coefficients)
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[DOC File]Objectives - Arizona State University
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Ask the students to find all the zeros of the polynomial in example 2. Ask the students what they might do with example 3 (They will likely groan). Example 3: Find all the real zeros of the polynomial function . This example leads well into bypassing the rational zero test and using the calculator to determine which possible rational zeros to test.
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[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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If where a and b are rational and c is not a perfect square, is a zero of a polynomial function with rational coefficients, then is also a zero. Integer Coefficients and the Rational Zeros Theorem. The Rational Zeros Theorem. Let where all the coefficients are integers.
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Rational zeros polynomial function calculator