Sec 12: Factoring trinomials in the form AX² + BX + C INTO 2 BINOMIALS

Slides:

Advertisements

Similar presentations

Chapter 5 – Quadratic Functions and Factoring

Advertisements

Polynomials and Factoring

8.3 – Factoring Trinomials: x 2 + bx + c. Recall: Simplify (x + 2)(x + 3).

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

Bell Ringer: 5 minutes 4 minutes 3 minutes 2 minutes 1 minute 30 seconds TIMES UP!!! You are making square shaped invitations for a party. You start with.

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

Perfect Square Trinomials. Form for Perfect Square Trinomials: a 2 + 2ab + b 2 OR a 2 – 2ab + b 2.

2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

6 – 4: Factoring and Solving Polynomial Equations (Day 1)

Do Now. Homework Solutions 1)c 2 – 26c – 56 = 0 (c – 28)(c + 2) = 0 {-2, 28} 2)n 2 + 4n – 32 = 0 (n + 8)(n – 4) = 0 {-8, 4} 3)h 2 + 2h – 35 = 0 (h + 7)(h.

POLYPACK REVIEW

Do Now 3/5/10 Take out HW from last night.

Algebra Core Review Day 7

6.4 and 6.5 Factoring Trinomials

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.

Day Problems Factor each expression. 1.x 2 – a 2 – m 2 – 144m v 2 – 220v n 2 – 225.

Factoring Easy and Hard Trinomials MATH 017 Intermediate Algebra S. Rook.

4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.

Factoring Checklist Works every time!. 1. Check to see if there is a GCF. If so, factor it out. 3xy² + 12xy.

Chapter 8.1 Common Core – A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of.

4.6 Completing the Square Completing a perfect square trinomial allows you to factor the completed trinomial as the square of a binomial. You can solve.

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.

Factor and Solve Polynomial Equations 2.3 (GREEN book)

FFF FFF i v e o r m s o f a c t o r i n g 1.Greatest Common Factor (GCF) Ex 1 10x 2 y 3 z - 8x 4 y 2 2x 2 y 2 (5yz - 4x 2 ) Ex 2 15a 2 b 5 + 5ab 2 -

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.

5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.

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.

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.

Drill #51 Factor each polynomial using the GCF:. Drill #52 Factor each polynomial :

Do Now Factor the expression. x2 + 18x + 81 x2 - 22x

Solve Quadratic Functions by Completing the Square

World 1-9 Completing the Square.

Objectives Factor perfect-square trinomials.

Objectives Factor perfect-square trinomials.

Factor each polynomial completely. 1. 4xz2 – 2xz – 72x

Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

F i v e o r m s o f a c t o r i n g For Forms 1 - 3, do the examples on your paper then use the PowerPoint to check your answers Do not do Form 4.

Chapter 5 – Quadratic Functions and Factoring

ALGEBRA JEOPARDY Review of Factoring.

7.6 Factoring Differences of Squares

Factoring Trinomials of the form

6.4 Factoring Trinomials Day 1.

POLYPACK REVIEW

Algebra 1 Warm ups #5 Find the GCF for #1. Factor #s

Lesson 7-3 Factoring x² + bx + c

Do Now: Get your homework and green sheet out for Ms. Taylor to stamp.

9.3 Solve Quadratics by Completing the Square

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

Homework: Warm-Up: Factoring word problem worksheet

2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

5.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

4.4 Factoring Polynomials

3.5 (Part 1) Multiplying Two Binomials

Answers to Unit 1, Lesson 1 Exercises

Factoring by GCF CA 11.0.

Factoring Trinomials of the Type ax2 + bx + c

Warm Up Factor the following: a) b).

Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

4.6 Factoring Polynomials

13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

2.3 Factor and Solve Polynomial Expressions

Factoring Take a trinomial and break it into two binomials.

Get Started!! x  , y  ______.

Complete the Square.

Warm-up: Factor Completely

Skills Check Factoring (after the HW Check)

F i v e o r m s o f a c t o r i n g.

Presentation transcript:

Sec 12: Factoring trinomials in the form AX² + BX + C INTO 2 BINOMIALS Homework: Factoring Trinomials in the Form 𝑎 𝑥 2 +𝑏𝑥+𝑐 Worksheet Learning Target: I will factor trinomials in the for 𝑎 𝑥 2 +𝑏𝑥+𝑐 into 2 binomials.

Quality Core practice

REVIEW - factoring Explain what you look for when factoring a trinomial in the form x² + bx + c. Factor 1. m² + 11m + 18 2. x² - 13x + 42

Ex 1: Factoring when there is a number in front of x² A. 3x² - 14x + 15 B. 4x²+ 7x + 3 C. 2x² + 11x + 12 D. 6x² - 31x + 35

Ex 2: Area The area in square centimeters of a square mat is 25x² - 10x + 1. Find the dimensions of the mat in terms of x. The area of a rectangular cloth is (6x² - 19x -85) cm². The length is (2x + 5) cm. Find the width.

Challenge Factor out a GCF to make the coefficients (numbers) smaller, then the leftovers into 2 binomials. 12x² + 6x - 18

homework Factoring Trinomials in the Form 𝑎 𝑥 2 +𝑏𝑥+𝑐 Worksheet