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Be able to find all of the zeros of a polynomial, (first find any rational zeros by graphing the polynomial on your calculator and using the Rational Zero Theorem and synthetic division), and write the polynomial as a product of linear factors.
finding zeros with synthetic division

[DOC File]HILLGROVE - PEZOLD - Home
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Apply the Rational Zero Theorem to list rational numbers that are possible zeros. Use synthetic division to test the numbers in the list. Work with the reduced/depressed polynomial. Each time a zero is found, obtain the reduced/depressed polynomial. Work to get a reduced polynomial of degree 2.
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[DOC File]Algebra 2, with Trig
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Using synthetic division, Thus, Theorem: A polynomial function cannot have more real zeros than its degree. * That is, if a function f has degree n, the function f will have at most n real zeros. For example, has degree n = 4, has at most ( no more than) 4 real zeros. In this case, f has one real zero, x = -3. *Proof: Descartes’ Rule of Signs:
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Finding Zeros of a Polynomial Function | College Algebra
Hon Alg 2: Unit 4. SYNTHETIC DIVISION WORKSHEET Don’t forget ZERO Coefficients for missing degrees. Solve the binomial divisor equal to zero. Multiply and Add Patterns
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[DOC File]Winston-Salem/Forsyth County Schools / Front Page
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zeros of polynomials, using just the coefficients of the polynomial. Ex – To show that is one root (zero) of use synthetic division to find that the last number is zero. Factor the depressed polynomial to find the other roots: These are called zeros because they are the values of x that make f(x) = 0 . Therefore for this function, f (3) = 0.
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[DOC File]Uses of Synthetic Division
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Divide using Synthetic Division and determine if it is a factor. Find all the factors of the polynomial Given one factor of the polynomial, find the all zeros. Draw a rough sketch. 9. 10. Algebra II Unit 3B – Polynomial Roots 3B.1 - Homework
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[DOC File]COLLEGE ALGEBRA
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Benchmark (A): Dividing Polynomials. 1. Divide the following using long division: 2. Divide the following using synthetic division: 3. Find all the zeros of the following function:
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Advanced Algebra Review Polynomials Test 2 Name:_____ Date _____ Period _____. Find all the zeros of the functions using synthetic division, factoring, or quadratic formula. Find the p/q’s and number of turning points for #1 and 5.
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How to find zeros using synthetic division