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Understanding Quadratic Equations: Review and Problem-Solving Techniques

In Chapter 7 of our math course, we will dive into the world of quadratic equations. This chapter aims to enhance your algebraic and graphical reasoning skills by teaching you how to solve quadratic equations through various methods. You'll learn to solve them by graphing (Section 7.1), factoring (Section 7.2), and applying the quadratic formula (Section 7.3). We will review previous concepts, focusing on polynomial equations of the second degree, and address common student difficulties with solving for variables involving squared terms.

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Understanding Quadratic Equations: Review and Problem-Solving Techniques

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  1. MATH 2201 CHAPTER 7 - QUADRATIC EQUATIONS Review and Introduction

  2. Learning Goals for Chapter 7 You will develop your algebraic and graphical reasoning. You will be able to solve quadratic equations by… • graphing (Section 7.1) • factoring (Section 7.2) • using the quadratic formula (Section 7.3)

  3. Review We are use to solving for 1 variable with a degree of 1.In Math 1201 we solved the linear equation: y = mx + b

  4. Review We know how to solve for 1 variable with a degree of 2. Earlier this year we learned about radials and how to solve for x when x has a degree of 2 (or higher).

  5. Try Solving…

  6. What About…

  7. Quadratic Equation Quadratic Equation: a polynomial equation of the second degree The standard form of a quadratic equation is…

  8. Note! A lot of students have trouble with x² Try the following: Solve for y when x = 2 y = 4x² Solve for y when x = 2 y = (4x)² VS

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