5.2: Solving Quadratic Equations by Factoring (p. 256)

Slides:

Advertisements

Similar presentations

I can use the zero product property to solve quadratics by factoring

Advertisements

Solving Quadratic Equations by Factoring Algebra I.

Day 5 Simplify each expression: Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.

10-3: Solving Quadratic Equations

Solving Quadratic (and polynomial) Equations by Factoring.

1.4 Solving Quadratic Equations by Factoring

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.

1.3 Solving Quadratic Equations by Factoring (p. 18) How can factoring be used to solve quadratic equation when a=1?

Do Now: Factor x2 – 196 4x2 + 38x x2 – 36 (x + 14)(x – 14)

Mathematics Department Collaboration Outcome Brief Summary: Different math disciplines reviewed all District 4 benchmarks to see the growth. Although the.

Solving Quadratic Equations

Solving quadratic equations by graphing. X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use.

Algebra 1 Ch.10 Notes Page 81 P Factoring to Solve Quadratic Equations.

Factoring to Solve Quadratic Equations

To add fractions, you need a common denominator. Remember!

5 – 2: Solving Quadratic Equations by Factoring Objective: CA 8: Students solve and graph quadratic equations by factoring, completing the square, or using.

5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.

Today’s entrance ticket… Factor! Be sure to ask any questions before the quiz!! You should have studied last night and be prepared today!

Aim: How Do We Solve Quadratic Equations by Factoring

Section 5-4(e) Solving quadratic equations by factoring and graphing.

Solving Quadratic (and polynomial) Equations by Factoring.

SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48.

Factoring by Grouping ALGEBRA 1 LESSON 9-8 (For help, go to Lessons 9-2 and 9-3.) Find the GCF of the terms of each polynomial. 1.6y y – 42.9r 3.

Solving Quadratic Equations by Factoring. Martin-Gay, Developmental Mathematics 2 Zero Factor Theorem Quadratic Equations Can be written in the form ax.

2.1 – Linear and Quadratic Equations Linear Equations.

Solving Quadratic Equations by Factoring. To solve a quadratic eqnuation by factoring, you must remember your factoring patterns!

Solving Quadratic Equations. Factor: x² - 4x - 21 x² -21 a*c = -21 b = -4 x + = -21 = x 3x3x x 3 (GCF) x-7 (x – 7)(x + 3)

Solving Quadratic Equations by Factoring. Zero-Product Property If ab=0, then either a=0, b=0 or both=0 States that if the product of two factors is zero.

6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.

§ 6.6 Solving Quadratic Equations by Factoring. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Zero Factor Theorem Quadratic Equations Can be.

Solving Quadratic Equations Using the Zero Product Property March 18, 2014.

Aim: How Do We Solve Quadratic Equations by Factoring Do Now: Factor: x 2 + 3x –18.

4.4: Factoring (Quadratic Equations) Algebra II. Ex. 1 15x² - 2x - 8.

Quadratic Inequalities You can solve a quadratic inequality algebraically by factoring. Just like solving a quadratic equality we set it = to 0. we move.

Solving Systems of Linear and Quadratic Equations.

Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.

WARM UP What are the solutions of each equation? 1.) x = 4 2.) x = 0 3.) x 2 – 49 = 0.

Skill Check Factor each polynomial completely.. 5-1: Solving Quadratic Equations by Factoring By Mr. Smith.

6.3 notes Solving Quadratics.

Solve equations by factoring.

5.2: Solving Quadratic Equations by Factoring

5.2 Solving Quadratic Equations by Factoring

Objectives Solve quadratic equations by factoring.

Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.

1.4 Solving Quadratic Equations by Factoring

Solving Quadratic Equations

A quadratic equation is written in the Standard Form,

Solving Quadratic Equations by Graphing

9.3 Solving Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Solving Quadratic Equations by Factoring March 16, 2015

Solving Quadratics by Factoring

Objectives Solve quadratic equations by graphing or factoring.

4.3 Solving Quadratic Equations by Factoring

10.4 Solving Quadratic Equations in Factored Form

Using Factoring To Solve

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

You can find the roots of some quadratic equations by factoring and applying the Zero Product Property. Functions have zeros or x-intercepts. Equations.

Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Warm-Up 5 minutes Factor the following expressions: 2) x2 - 3x

Solving Polynomial Equations in Factored Form

3.5 Solving Nonlinear Systems

Warm up Factor Completely 5x2 – 13x + 6 x2 – 9y2 3) y2 + 2y – 48

Solving Quadratic Equations by Factoring

9-5 Factoring to Solve Quadratic Equations

Objective SWBAT solve polynomial equations in factored form.

Solving Equations by Factoring

Solving Quadratic Equations by Factoring March 11, 2016

4.3: Solving (Quadratic Equations) by Factoring

Presentation transcript:

5.2: Solving Quadratic Equations by Factoring (p. 256)

To solve a quadratic eqn. by factoring, you must remember your factoring patterns!

Zero Product Property Let A and B be real numbers or algebraic expressions. If AB=0, then A=0 or B=0. This means that If the product of 2 factors is zero, then at least one of the 2 factors had to be zero itself!

Example: Solve. x 2 +3x-18=0 x 2 +3x-18=0Factor the left side (x+6)(x-3)=0set each factor =0 x+6=0 OR x-3=0solve each eqn x=-6 OR x=3check your solutions!

Example: Solve. 2t 2 -17t+45=3t-5 2t 2 -17t+45=3t-5Set eqn. =0 2t 2 -20t+50=0factor out GCF of 2 2(t 2 -10t+25)=0divide by 2 t 2 -10t+25=0factor left side (t-5) 2 =0set factors =0 t-5=0solve for t +5 t=5check your solution!

Example: Solve. 3x-6=x x-6=x 2 -10Set = 0 0=x 2 -3x-4Factor the right side 0=(x-4)(x+1)Set each factor =0 x-4=0 OR x+1=0 Solve each eqn x=4 OR x=-1 Check your solutions!

Finding the Zeros of an Equation The Zeros of an equation are the x- intercepts ! First, change y to a zero. Now, solve for x. The solutions will be the zeros of the equation.

Example: Find the Zeros of y=x 2 -x-6 y=x 2 -x-6Change y to 0 0=x 2 -x-6Factor the right side 0=(x-3)(x+2)Set factors =0 x-3=0 OR x+2=0Solve each equation x=3 OR x=-2Check your solutions! If you were to graph the eqn., the graph would cross the x-axis at (-2,0) and (3,0).

Assignment