Скачать или смотреть Solve a Quadratic Equation Using the Zero Product Property | HS.A-REI.B.4 🖤💙

In this math video we will solve a quadratic equation using the Zero Product Property. We will understand that the given equation is a quadratic equation in factored form equal to zero. We will learn that the Zero Product Property states that . . . If the product of two or more factors is zero, then at least one of the factors must be zero. We will identify the two factors in the equation. We will write two equations using these factors, setting each equation equal to zero using the Zero Product Property. We will solve each of the two simple equations by identifying the necessary inverse operations. We will check the solutions to be sure they are solutions of the given quadratic equation. We will review the possible solutions from the multiple choice answers and identify the solutions of the quadratic equation in factored form. An exemplar solution is modeled and explained.

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00:00 Introduction
00:10 The Question
00:30 Understanding the Problem
00:40 Zero Product Property
00:55 The Factors of a Quadratic Equation
01:15 Write Two Equations Using the Zero Product Property
01:32 Solve the Two Simple Equations
02:22 Check the Solutions
03:33 The Solution
03:44 Conclusion

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HS.A-REI.B.4
Algebra 1 - High School Common Core Math

Reasoning with Equations and Inequalities

Solve Equations And Inequalities In One Variable

HS.A-REI.B.4 Solve quadratic equations in one variable.
HS.A-REI.B.4.a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.
HS.A-REI.B.4.b Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers.

Identify the solutions of a factored quadratic equation in one variable.