PPT-5.3.2 – Quadratic Equations, Finding Zeroes

Recall we went over how to factor quadratics that are trinomials Example Factor the expression x 2 7x 12 Quadratic Equations Quadratic Equations are written in the form ax 2 bx c 0. N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo ka chaotic analytic zero point s are zeroes of a Gaussian entire function where s are independent standard Gaussian complex random vari ables The random zero set of this function is distributio n invariant with respect to the isometries of the comp Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. Section 3.4 beginning on page 122. The Big Ideas. The . quadratic formula . allows us to . solve any quadratic equation . once it is written in standard form. The . discriminant. . is a part of the quadratic formula that tells us . KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Solve:. LINEAR . QUADRATIC . QUADRATIC . Quadratic Equations. Solve:. a) b) . . Learning Log Summary . LT. . 1. . – I can . solve. quadratic equations using factoring or the square root method.. You will be able find a polynomial function . with specified zeroes and factor polynomials completely. . HW: Worksheet. Theorem. A polynomial of . n . degree has . n. complex zeroes. . Complex numbers include both real and imaginary numbers. Perfect Square Trinomials. Examples. x. 2. + 6x + 9. x. 2. - 10x + 25. x. 2. + 12x + 36. Creating a Perfect . Square Trinomial. X. 2. . + 14x + ____ . Find the constant term by squaring half . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via