9-6: FACTORING TRINOMIALS OF THE TYPE AX 2 + BX + C Essential Question: What is the first thing you should look for when factoring a trinomial?

Slides:

Advertisements

Similar presentations

Factoring Trinomials When a=1 ALWAYS check for GCF first! Factor trinomials in the standard form ax²+ bx + c Solve equations in the standard form ax²+

Advertisements

AC Method of factoring ax2 + bx +c

6.3 Factoring Trinomials II Ax 2 + bx + c. Factoring Trinomials Review X 2 + 6x + 5 X 2 + 6x + 5 (x )(x ) (x )(x ) Find factors of 5 that add to 6: Find.

Factoring Trinomials of the Type ax2 + bx + c

Factoring a Quadratic Expression

Factoring Trinomials of the form x 2 + bx + c Chapter 5.3.

9-5: FACTORING TRINOMIALS OF THE TYPE X 2 + BX + C Essential Question: How do you determine what numbers are used when factoring?

Factoring Review.

Standard Form The standard form of any quadratic trinomial is a=3 b=-4

Section 9-6 Day 1 Factoring Trinomials ax 2 + bx + c Day 1.

Essential Question: How is FOIL related to factoring?

2-4 completing the square

9-7: Factoring Special Cases

Factoring Quadratic Expressions

Essential Question: Explain the process of solving a quadratic equation by factoring.

Algebra I Notes Section 9.5 (A) Factoring x 2 + bx + c With Leading Coefficient = 1 To factor a quadratic expression means to write it as a product of.

Chapter 8: Factoring.

Factoring Review. Factoring The process of rewriting an equation or expression as the product of its factors Example: x 2 + 3x + 2 = (x + 2)(x + 1) Most.

CHAPTER 8: FACTORING FACTOR (noun) –Any of two or more quantities which form a product when multiplied together. 12 can be rewritten as 3*4, where 3 and.

Factoring Review 25 January Factoring The process of rewriting an equation or expression as the product of its factors Example: x 2 + 3x + 2 = (x.

Factoring Trinomials of the Form ax2 + bxy + cy2

Objective The student will be able to: factor trinomials of the type ax 2 + bx + c with grouping. Designed by Skip Tyler, Varina High School.

Factoring Trinomials with ax 2 + bx + c 6x x Now you need to find the right combination of numbers in the correct order.

 Polynomials Lesson 3 Multiplying and Factoring Polynomials using the Distributive Method.

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.

Warmups – factor. 1) 2xy 3 – 6x 2 y 2) x 2 – 12x ) 4y y ) 4ax – 6bx + 6ay – 9by.

Multiply (2n + 3)(n + 4) 2n² + 8n + 3n n² + 11n + 12

Factoring Expressions This topic will be used throughout the 2 nd semester. Weekly Quizzes.

Quadratic Function A function that can be written in standard form; f(x) = ax 2 + bx + c where a ≠ 0.

2.4 part 1 - Basic Factoring I can... - Factor using GCF -Factor a difference of two perfect squares -Factor basic trinomials.

Factoring Quadratic Trinomials To Factor Trinomials in the Form x² + bx + c. OBJECTIVE C can be positive or negative.

8-7: Solving ax2 + bx + c = 0 Essential Question: What is the first thing you should look for when factoring a trinomial?

9.6 Factoring Trinomials. 9.6 – Factoring Trinomials Goals / “I can…”  Factor trinomials in the form ax + bx + c 2.

1-8 Factoring Patterns. What is the first step?? GCF Why? 1.If you don’t do it at the beginning, you might not remember at the end 2. Some problems will.

Factoring Factoring in the format ax2+bx+c Problem 1 X 2 + 7x + 10.

Factoring polynomials

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.

Factoring Review. Factoring The process of rewriting an equation or expression as the product of its factors Example: x 2 + 3x + 2 = (x + 2)(x + 1) Most.

Warm-Up: Factor by GCF 1. 16x 2 – 8x 2. 10x – 10y.

Factoring Polynomials Factoring is the process of changing a polynomial with TERMS (things that are added or subtracted) into a polynomial with THINGS.

Factoring Trinomials SWBAT: Factor Trinomials by Grouping.

8-7: Solving ax2 + bx + c = 0 Essential Question: What is the first thing you should look for when factoring a trinomial?

Objectives Solve quadratic equations by factoring.

FACTORING TRINOMIALS with leading coefficient

Warm-up: Factor Completely

9-15 Do Now Ed is a baseball player who gets a hit 6 times out of every 20 times at bat. How many hits will Ed expect to get if he is at bat 200 times?

Factoring trinomials.

Factoring Trinomials of the form

Factoring polynomials

Basic Trinomials (All Positives)

X-box Factoring to Solve Quadratic Equations

Polynomials and Polynomial Functions

Factoring Polynomials SUM AND PRODUCT

Warm Up Find each product. 1. (x – 2)(2x + 7) 2. (3y + 4)(2y + 9)

Practice Factor each polynomial 1. 3y2 + 2y + 9y + 6

= x2 + 8x + 12 = x2 – 81 = x2 – 6x + 9 = 2x2 + 5x – 25 = x2 – 16

Factoring Trinomials of the Type ax2 + bx + c

1) Which pair of factors of 8 has a sum of 9?

Warm-up: Factor Completely

Unit 1 Section 3C: FACTORING POLYNOMIALS

5.4 Completing the Square.

A, b and c can be any numbers

Get Started!! x  , y  ______.

Warm-up: Factor Completely

A, b and c can be any numbers

Warm-up: Factor Completely

A, b and c can be any numbers

Presentation transcript:

9-6: FACTORING TRINOMIALS OF THE TYPE AX 2 + BX + C Essential Question: What is the first thing you should look for when factoring a trinomial?

9-6: Factoring ax 2 + bx + c  Factoring: The Steps (changes from yesterday in red)  Make sure the equation is written in standard form f(x) = ax 2 + bx + c  Set up two parenthesis ( )( )  Find two numbers with A product of a ● c A sum of b  Write answer as (ax ± 1 st number)(ax ± 2 nd number) Note: This will be wrong (why?) Factor out any GCFs, and remove them

9-6: Factoring ax 2 + bx + c  Example #1: c is positive  Factor 6n n + 7 Find the factors of 42 (6 ● 7). Which pair adds to 23? 1 & 42 2 & 21  Winner 3 & 14 6 & 7 (6n + 2)(6n + 21) Factor out GCFs, then cut them out 2(3n + 1) 3(2n + 7) (3n + 1)(2n + 7)

9-6: Factoring ax 2 + bx + c YY OUR T URN FFactor each expression 22y 2 + 5y + 2 (2y + 1)(y + 2) 66n 2 – 23n + 7 (3n – 1)(2n – 7) 22y 2 – 5y + 2 (2y – 1)(y – 2)

 Example #2: c is negative  Factor 7x 2 – 26x – 8 Find the factors of -56 (7 ● -8). Which pair adds to -26? 1 & & -28  Remember, bigger number is negative here 4 & & -8 (7x + 2)(7x – 28) Factor out GCFs, then cut them out (7x + 2) 7(x – 4) (7x + 2)(x – 4)

9-6: Factoring ax 2 + bx + c YY OUR T URN FFactor each expression 55d 2 – 14d – 3 (5d+1)(d – 3) 22n 2 + n – 3 (2n + 3)(n – 1) 220p 2 – 31p – 9 (5p – 9)(4p + 1)

 Example #3: Keep the GCF  Factor 20x x + 35 Take out the GCF first. This will be part of the final answer. 5(4x x + 7) Find the factors of 28 (4 ● 7). Which pair adds to 28? 1 & 28 2 & 14  Correct 4 & 7 5(4x + 2)(4x + 14) Factor out GCFs, then cut only these out. The 5 persists. 5 2(2x + 1) 2(2x + 7) 5(2x + 1)(2x + 7)

9-6: Factoring ax 2 + bx + c YY OUR T URN FFactor each expression 22v 2 – 12v (v – 1)(v – 5) 44y y + 6 2(2y + 1)(y + 3) 118k 2 – 12k – 6 6(3k + 1)(k – 1)

 Assignment  Worksheet #9-6  Problems 1 – 27, all