Standard Form of a Quadratic Equation: y = ax 2 + bx + c a is the coefficient of the 1st term b is the coefficient of the 2nd term c is the coefficient.

Slides:



Advertisements
Similar presentations
How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
Advertisements

X-box Factoring.
Unit 5 – Quadratic Functions & Complex Numbers Topic: Factoring Polynomials Review.
Warm up 1. Solve. 2. Solve. m m + 30 = 0 x = 0.
© 2007 by S - Squared, Inc. All Rights Reserved.
6 – 4: Factoring and Solving Polynomial Equations (Day 1)
Quadratics – Completing the Square A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Example 1: Binomial Squared Perfect.
A. b..  When given the roots of a quadratic equation we can work backwards to find the quadratic equation.  Example:  If you know that your roots.
6.5 – Solving Equations with Quadratic Techniques.
8-4 Factoring ax2 + bx + c Warm Up Lesson Presentation Lesson Quiz
2.3 Part 1 Factoring 10/29/2012. What is Factoring? It is finding two or more numbers or algebraic expressions, that when multiplied together produce.
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
Exploring Quadratic Functions and Inequalities
Converting Quadratic Equations A step-by-step guide with practice.
Quadratics Solving equations Using “Completing the Square”
Section 4.4 – Factoring Quadratic Expressions Factors of a given number are numbers that have a product equal to the given numbers. Factors of a given.
11-4 Common Monomial Factoring 1. What are the factors of 18m ? 2 1st write all the factors of __. 1, 18, 2, 9, 3, 6 = 2nd list all the factors of __.
Warmup Factor Factoring Trinomials Objective: To factor quadratic trinomials. Standard 11.0.
Factoring. Warm Up Multiply: Objective The student will be able to factor by distribution, grouping and factor trinomials.
Holt Algebra Solving Quadratic Equations by Graphing and Factoring A trinomial (an expression with 3 terms) in standard form (ax 2 +bx + c) can be.
Factoring Polynomials Section 2.4 Standards Addressed: A , A , CC.2.2.HS.D.1, CC.2.2.HS.D.2, CC.2.2.HS.D.5.
Multiply (2n + 3)(n + 4) 2n² + 8n + 3n n² + 11n + 12
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
Warmup Factor. 1. GCF 2. GCF 3. Grouping/GCF 4. Grouping.
Aim: How do we factor the trinomial in the form of Do Now: Factor the following 1. x 2 – 6x x 2 – 8x – x x + 10.
9.6 Factoring Trinomials. 9.6 – Factoring Trinomials Goals / “I can…”  Factor trinomials in the form ax + bx + c 2.
Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.
Unit 3 Factoring: Common and Simple Trinomial LG: I can write quadratic equations in factored form using common factoring and simple trinomial factoring.
Do Now: Multiply 1) (x+8)(x+4) 2) (x-8)(x-3) 3) (x-8)(x+1) 4) (x+9)(x-5) Aim: How Do We Factor Trinomials?
DO NOW 11/12/14 Homework in the basket please Multiply the following polynomials 1. (3x + 1)(3x – 1) 1. (2z – 7)(z + 4) 1. (4a + 2)(6a2 – a + 2) 1. (7r.
Factoring Quadratics using X-Box method
Factoring Quadratic Expressions ax 2 + bx + c “SPLITTING THE MIDDLE” Feb. 27, 2014.
Factoring Trinomials of the Type: ax 2 + bx + c Most trinomials can be factored even when the leading coefficient is something other than 1. Examples of.
Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting.
Transformers – Simplifying the Complex Section 8.5 Equations Reducible to Quadratic Forms  Recognizing Equations that are Quadratic Form Even Powers.
X-box Factoring.
Solving Quadratics Review. We must solve to get x 2 by itself 1 st !
Factoring GCF, Monics, Solving Monics. Quadratics Solve x 2 – 8x + 15 = 0 by using the following graph.
Chapter 5 Objective 2: Writing equations in Standard Form using 2 points.
X-box Factoring.
7.3 Solving Equations Using Quadratic Techniques
Multiply (x+3)(2x-7) Factor 3. 42x – 7
Warm up.
Sum and Product of Roots
Chapter 5 – Quadratic Functions and Factoring
Day 139 – X-BOX Factoring.
Solving Quadratic Equations by Factoring
X-box Factoring to Solve Quadratic Equations
Warm-up: Pick up a calculator
Do Now: Get your homework and green sheet out for Ms. Taylor to stamp.
Warm Up Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9)
Factoring Quadratics using X-Box method
Solving Quadratic Equations by Factoring
Unit 4: Factoring and Complex Numbers
Solving Quadratics by Factoring
1B.1- Solving Quadratics:
End Warm Up Answer each question to solve x2 – 9x + 18 = 0
Objective Factor quadratic trinomials of the form ax2 + bx + c.
Do Now: Aim: How Do We Factor Trinomials? Multiply 1) (x+8)(x+4)
Day 139 – X-BOX Factoring.
Factoring Quadratics using X-Box method
7-4 Factoring ax2 + bx + c Warm Up Lesson Presentation Lesson Quiz
X-box Factoring.
Factoring with GCF and DOS
X-box Factoring.
8.2 Mini-Quiz Review: 6.5a Mini-Quiz Solve Solve.
Factoring with DOS.
Warm-up: Factor Completely
Skills Check Factoring (after the HW Check)
Presentation transcript:

Standard Form of a Quadratic Equation: y = ax 2 + bx + c a is the coefficient of the 1st term b is the coefficient of the 2nd term c is the coefficient of the 3rd term

What is 'a' in this equation? What is 'b' in this equation? What is 'c' in this equation?

Factoring: Working Backwards!! (2x + 5)(x - 3) = 2x 2 - x - 15

Factoring When a = 1 x 2 + 7x + 12

Factoring When a = 1 1) g 2 + 7g ) v v + 423) m 2 + 6m - 27

Factoring When a ≠ 1 Step 1: Always look for a GCF first!!! 6n n + 7

Factoring When a ≠ 1 Step 1: Always look for a GCF first!!! 7x x - 8

Factoring When a ≠ 1 Step 1: Always look for a GCF first!!! 20x x + 35

Factoring When a ≠ 1 1) 2y 2 + 5y + 2 2) 5d d - 33) 2v v + 10

Homework #13 Factoring Half-Sheet Multiplying Binomials Quiz on THURSDAY/FRIDAY!