Day 139 – X-BOX Factoring.

Slides:

Advertisements

Similar presentations

AC Method of factoring ax2 + bx +c

Advertisements

Warm-Up DEGREE is Even/Odd, LEADING COEFFICIENT is Positive/Negative,

Warm-Up Factor the following expressions by pulling out things that each term has in common: 4x3 + 8x2 + 12xz 9x2y3 + 3xy2 + 27xy4.

X-box Factoring.

Factoring Polynomials. GCF. Factor by grouping. Factor a trinomial

Factoring Polynomials

X-box Factoring.

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

Factoring Trinomials Factoring ax 2 + bx + c Step 1Find pairs whose product is c. Find all pairs of integers whose product is c, the third term.

Distribute each problem:

Objectives: 1. Solve equations by: A. Factoring B. Square Root of Both Sides C. Completing the Square D. Quadratic Formula 2. Solve equations in quadratic.

X-box Factoring. X- Box 3-9 Product Sum X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will.

Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.

Factoring, Difference of Two Squares

Factoring a polynomial means expressing it as a product of other polynomials.

(2x) = (2x – 3)((2x)2 + (2x)(3) + (3)2) = (2x – 3)(4x2 + 6x + 9)

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

Solving Quadratic Equations. Review of Solving Quadratic Equations ax 2 +bx +c = 0 When the equation is equal to zero, solve by factoring if you can.

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.

Solving Quadratic Equations by Factoring

Warmup Factor. 1. GCF 2. GCF 3. Grouping/GCF 4. Grouping.

Factoring – Day 4 Factoring Trinomials Objective: To factor trinomials whose quadratic coefficient is 1.

X-box Factoring.

Factoring a polynomial means expressing it as a product of other polynomials.

Factoring Quadratics using X-Box method

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.

X-box Factoring.

Unit 3.1 Rational Expressions, Equations, and Inequalities

X-box Factoring.

Quadratic Equations P.7.

1) Find f(-3),f(-2),f(-1), f(0), f(1), f(2), f(3) 2) Sketch the graph

Factoring Quadratic Expressions Lesson 4-4 Part 2

Factoring the Difference of Two Squares

Factoring Special Products & Choosing a Factoring Method

Factoring Polynomials

Factoring Quadratics.

Factoring trinomials ax² + bx +c a = 1

Review of Factoring; Quadratic Equations and Rational

a*(variable)2 + b*(variable) + c

Factoring Polynomials

Solving Quadratic Equations by Factoring

X-box Factoring to Solve Quadratic Equations

Generic Rectangle Factoring

X-box Factoring.

Warm-up: Pick up a calculator

X-box Factoring.

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

Factoring Quadratics using X-Box method

Factoring Polynomials.

a*(variable)2 + b*(variable) + c

Unit 4: Factoring and Complex Numbers

1B.1- Solving Quadratics:

X-box Factoring.

Factoring ax2 + bx + c Section 8-6.

Factoring Polynomials

a*(variable)2 + b*(variable) + c

The Square Root Property and Completing the Square

X-box Factoring.

Day 139 – X-BOX Factoring.

Factoring Quadratics using X-Box method

Factoring ax2 + bx + c Objective:

Factoring x2 + bx + c Objective:

X-box Factoring.

Factoring Polynomials.

X-box Factoring.

X-box Factoring.

September 21, 2017 Multiply the following factors on an index card.

Factoring with DOS.

Bell Work 4//2015 Factor..

X-box Factoring.

Presentation transcript:

Day 139 – X-BOX Factoring

ax2 + bx + c X- Box Trinomial (Quadratic Equation) Product of a & c ax2 + bx + c Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. b

x2 + 9x + 20 X- Box Trinomial (Quadratic Equation) Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. 5 4 9

2x2 -x - 21 X- Box Trinomial (Quadratic Equation) -42 Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. 6 -7 -1

X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how to factor quadratic equations using the x-box method

LET’S TRY IT! Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. Objective: I can use the x-box method to factor non-prime trinomials.

x2 -5x -10 2x Factor the x-box way Example: Factor x2 -3x -10 (1)(-10)= -10 x -5 x2 -5x x GCF -5 2 -3 2x -10 +2 GCF GCF GCF x2 -3x -10 = (x-5)(x+2)

First and Last Coefficients Factor the x-box way y = ax2 + bx + c Base 1 Base 2 Product ac=mn First and Last Coefficients 1st Term Factor n GCF n m Middle Last term Factor m b=m+n Sum Height

Factor the x-box way Example: Factor 3x2 -13x -10 x -5 -30 3x 3x2 -15x +2 3x2 -13x -10 = (x-5)(3x+2)

Examples Factor using the x-box method. 1. x2 + 4x – 12 x +6 x2 6x x a) b) x +6 -12 4 x2 6x -2x -12 x 6 -2 -2 Solution: x2 + 4x – 12 = (x + 6)(x - 2)

Examples continued x -4 x x2 -4x -5x 20 2. x2 - 9x + 20 a) b) x -4 -4 -5 20 -9 x x2 -4x -5x 20 -5 Solution: x2 - 9x + 20 = (x - 4)(x - 5)

Examples continued 2x -7 x 2x2 -7x 2x -7 3. 2x2 - 5x - 7 a) b) 2x -7 -14 -5 -7 2 x 2x2 -7x 2x -7 +1 Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

Examples continued 3x +2 5x 15x2 10x -3x -2 3. 15x2 + 7x - 2 a) b) 3x +2 -30 7 5x 15x2 10x -3x -2 10 -3 -1 Solution: 15x2 + 7x – 2 = (3x + 2)(5x - 1)

Extra Practice x2 +4x -32 4x2 +4x -3 3x2 + 11x – 20

Don’t forget to check your answer by multiplying! Reminder!! Don’t forget to check your answer by multiplying!