PPT-Finding Zeros Given the Graph of a Polynomial Function

Chapter 56 Review Zeros of Quadratic Functions In the previous chapter you learned several methods for solving quadratic equations If rather than a quadratic equation we think about the function . Common Core II – Day 2. Warm Ups. a) Factor to solve the equation x. 2. – 7x + 10 = 0. . b) Explain what the solutions tell you about the graph. . c. ) Using what you know about the quadratic function, draw a rough sketch.. Mrs. . Chernowski. Pre-Calculus. Chris Murphy. Requirements:. At least 3 relative maxima and/or minima. The ride length must be at least 4 minutes. The coaster ride starts at 250 feet. The ride dives below the ground into a tunnel at least once. A). B). SYNTHETIC DIVISION:. STEP #1. : . Write the Polynomial in DESCENDING ORDER by degree and write any ZERO coefficients for missing degree terms in order. STEP #2. : . Solve the Binomial Divisor = Zero. Copy the coordinate plane with the following information.. Simplify each expression.. 4) (x + 5) + (2x + 3) . 5) (x + 9) – (4x + 6) . 6) (-x. 2. – 2) – (x. 2. – 2) . X.  - . f(x) - . spline functions. By: Tomas A. GRANDINE. Boeing Computer Services Company. 1987. Presented by: Fady Massarwi. Introduction. The paper presents a method for computing zeros of B-spline function.. Finding all the zeros.. Algebra 2. Chapter 5. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Now, we have learned about several properties for polynomial functions. Finding y-intercepts. Finding x-intercepts (zeros). End behavior (leading coefficient, degree). Testing values for zeros/factors (synthetic division) . Section 2.4. Terms. Divisor: . Quotient: . Remainder:. Dividend: . PF. FF .  . Long Division. Use long division to find . divided by . ..  . Division Algorithm for Polynomials. Let . and . be polynomials with the degree of . Section 4.1. Polynomial Functions. Determine roots of polynomial equations. Apply the Fundamental Theorem of Algebra. Polynomial in one variable. A polynomial in one variable x, is an expression of the form a. Standard 15. Graph and analyze polynomial and radical functions to determine:. Domain and range. X and y intercepts. Maximum and minimum values. Intervals of increasing and decreasing. End behavior. With the function: f(x) = . What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x 5. Quadratics. Objective: . Recognize the shape of basic polynomial functions. Describe the graph of a polynomial function. Identify properties of general polynomial functions: Continuity, End Behaviour, Intercepts, Local . What do we already know about polynomial functions?. They are either ODD functions. They are either EVEN. functions. Linear. y = 4x - 5. Cubic. y = 4x. 3. - 5. Fifth Power. y = 4x. 5. –x + 5. Quadratics. Lesson. Check: . . Worksheet Complex Numbers. Side 37 all. Side 38 (x4). . 2.5. Objective: . Find all real and complex zeros of a polynomial function..