9-6 X-box Factoring ax 2 +bx+c. X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how.

Slides:

Advertisements

Similar presentations

TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST

Advertisements

ax2 + bx + c 2x2 + 11x + 5 ac 2(5) = b =11 ( ) 2x2 + 10x + 1x

Factoring Trinomials When a 1.

There is a pattern for factoring trinomials of this form, when c

Section 8.4 Quadratic Formula.

Objective: To solve quadratic equations by completing the square.

Addition using three addends. An associative property is when you group numbers in anyway and the answer stays the same.

MULTIPLICATION EQUATIONS 1. SOLVE FOR X 3. WHAT EVER YOU DO TO ONE SIDE YOU HAVE TO DO TO THE OTHER 2. DIVIDE BY THE NUMBER IN FRONT OF THE VARIABLE.

FACTORING ax2 + bx + c Think “unfoil” Work down, Show all steps.

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+

AC Method of factoring ax2 + bx +c

Past Tense Probe. Past Tense Probe Past Tense Probe – Practice 1.

Do Now 4/15/10 Take out HW from yesterday. Copy HW in your planner.

X-box Factoring. Warm-Up Please complete these individually. 1. Fill in the following X-solve problems. a. b. c. 2. Write the general form of a quadratic.

The X-box Factor Factoring Trinomials.

Factoring ax2+bx +c ax2+bx +c

Addition 1’s to 20.

25 seconds left…...

Test B, 100 Subtraction Facts

10-7 The Quadratic Formula

X-box Factoring.

EOC Practice #19 SPI

Bottoms Up Factoring. Start with the X-box 3-9 Product Sum

Solving Quadratics by Completing the Square & Quadratic Formula

X-box Factoring. X- Box 3-9 Product Sum Factor the x-box way Example: Factor 3x 2 -13x (3)(-10)= x 2x 3x 2 x-5 3x +2.

Copyright © Cengage Learning. All rights reserved.

X-box Factoring.

EXAMPLE 4 Use the discriminant Find the discriminant of the quadratic equation and give the number and type of solutions of the equation. a. x 2 – 8x +

solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.

Solving Quadratic Equations by Completing the Square

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.

6.5 – Solving Equations with Quadratic Techniques.

The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)

Quadratics Solving equations Using “Completing the Square”

Essential Question: How do you use the quadratic formula and the discriminant? Students will write a summary including the steps for using the quadratic.

Warm Up 1) Find the solution(s): 2)Find the vertex: f(x) = 2x 2 – 8x + 3.

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

Factoring Quadratics using X-Box method

X-box Factoring.

X-box Factoring.

The Quadratic Formula..

Warm up Factor the expression.

The Quadratic Formula..

Quadratic Formula Solving for X Solving for quadratic equations.

Factoring Quadratics.

Day 139 – X-BOX Factoring.

Solving Quadratic Equations by Factoring

Warm-up: Pick up a calculator

The Quadratic Formula.

Factoring Quadratics using X-Box method

Unit 4: Factoring and Complex Numbers

Solving Quadratics by Factoring

Factoring ax2 + bx + c Section 8-6.

Day 139 – X-BOX Factoring.

Factoring Quadratics using X-Box method

X-box Factoring.

The Quadratic Formula..

Tic-Tac-But No Toe In the following tic tac’s there are four numbers

X-box Factoring.

The Quadratic Formula..

Solving Equations by Factoring

Skills Check Factoring (after the HW Check)

quadratic formula. If ax2 + bx + c = 0 then

Presentation transcript:

9-6 X-box Factoring ax 2 +bx+c

X-box Factoring This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how to factor quadratic equations with a number in front of the x 2 using the x-box method!

Factor the x-box way middle left*right m n y = ax 2 + bx + c Right Term Left Term n m GCF

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

Examples continued Factor 2x 2 - 5x - 7 a) b) x 2 -7x 2x -7 x 2x-7 +1 Solution: 2x 2 - 5x – 7 = (2x - 7)(x + 1 ) -7 2

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

Examples continued Factor 3x x + 10 a) b) x 2 -15x -2x 10 3x x-5 -2 Solution: 15x 2 + 7x – 2 = (3x -2)(x - 5 )