Find polynomial equation from roots

    • How to Solve Polynomial Equations

      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. For example, you may not be able to factor , but can you still find its zeros by graphing it in your calculator? How? What are the roots of ...

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    • [DOC File]RECURRENCE EQUATION

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      Graphing polynomial Functions. Solving Equations Using Quadratic Techniques. Revisiting the Reminder and Factor Theorem. Roots and Zeros. Solving Rational Equations and Inequalities. Polynomial Functions - A polynomial equation used to represent a function. eg. 1) f(x) = x. Defn: A polynomial function, f, of degree n is a function of the form:

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    • Graphing Polynomials Worksheet - SPARCC

      Find a polynomial equation having roots (2 and 3 + i. 2. Given g(x) = x4 ( 3x3 ( 12x + 16. Find g(3i). 3. Find all zeros for p(x) = 2x4 + 3x3 + 6x2 + 12x ( 8. 4. One root of 2x3 ( 10x2 + 9x ( 4 = 0 is 4. Find the other roots. 5. If 3 + 2i is a zero of a polynomial, what has to be another zero? 6. Find m so that (x + 1) will be a factor of x97 ...

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    • [DOC File]Algebra 2, with Trig

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      In this case, we find the following relationships between the roots of the equation and the coefficients: and In certain problems, these can be quite helpful. Consider the following: Let r and s be the roots of the quadratic equation . Find the quadratic equation with a leading coefficient of one with roots 2r and 2s.

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    • [DOC File]LESSON - Strongsville City Schools

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      A polynomial function has a factor of if and only if . That is, is a factor if and only if c is a zero of P. Solutions = Roots = Zeros = x-Intercepts. When we find the roots of a polynomial equation, we are finding the places where the value of the function is ZERO. If f (x) = 0, then x is a root!!!! Examples:

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    • [DOC File]Advanced Algebra 2: Unit 8 – Polynomial Functions Review

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      Finding the roots of a higher degree polynomial equation by inspecting the graph. 1. The function f x = x 3 -3 x 2 +2 is graphed below. Use the graph to approximate the solutions to the equation x 3 -3 x 2 +2=0 . Look for x -intercepts! f x =0 x=-.8, 1, 2. 8 .

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    • [DOC File]POLYNOMIAL PATTERNS Learning Task:

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      Sketch the graph of each polynomial function. 2. Factor to find the zeros. (Syn. ÷ use x = 2 in box) Find the max/min using the graphing calc. State the end behavior (odd +, odd -, even +, even -) Using the end behavior, fill in the arrows. 3. Sketch the graph of the equation with a …

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    • [DOC File]Roots of a Quadratic Equation

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      Example: Find the zeros of the function. State the multiplicity of multiple zeros. Examples: Write a polynomial function in standard form with zeros at -2 and 3 (multiplicity 2). Write a polynomial function in standard form with zeros at -4, -2, and 0 (multiplicity 3). Graphing Polynomials on the TI-84. To find minimum and maximum: 2ND TRACE. 3 ...

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    • [DOCX File]Home / Homepage

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      Step 2: Solve the characteristic equation as a polynomial equation. Say, the real roots are r1, r2, . . . . , rk. Note, there are k solutions for k-th order polynomial equation. Step 3: The general solution for the original recurrence equation is: tn = (i=1kcirin

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