Factoring Take a trinomial and break it into two binomials.

Slides:

Advertisements

Similar presentations

Factor each trinomial:

Advertisements

4.3 Solve x2 + bx +c = 0 by 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.

Factoring Continued “Down Under”

Warm Up. Essential Question: How do you factor a polynomial without a middle term?

Warm Up Write each expression as a trinomial. Factor each expression.

The first reason we need to an expression is to represented an expression in a simpler form. The second reason is it allows us to equations. FACTOR EQUIVALENT.

3.5 – Solving Systems of Equations in Three Variables.

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

Factoring and Solving Polynomial Equations (Day 1)

5.3Product of Two Binomials. Remember! Powers/Exponents: Distributing:

Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:

AIM: What method can we use to multiply a trinomial by a binomial?

Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)

Completing the Square and Vertex Form of a Quadratic

8-1 Completing the Square

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.

EXTENDED ALGEBRA TOPICS DAY 1 MATH 7. CHAPTER OVERVIEW  In this chapter we will build on the algebra topics that we have already learned.  Topics we.

Section 10.6 Factoring Objectives: Factor a quadratic expression of the form Solve quadratic equations by factoring.

  Different types of Quadratics:  GCF:  Trinomials:  Difference of Squares:  Perfect Square Trinomials: Factoring Quadratics.

Warm Ups Term 2 Week 3. Warm Up 10/26/15 1.Add 4x 5 – 8x + 2 and 3x x – 9. Write your answer in standard form. 2.Use the Binomial Theorem to expand.

Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.

8.7 Multiplying Polynomials What you’ll learn: 1.To multiply two binomials 2.To multiply two polynomials.

Factor and Solve Polynomial Equations Homework Questions?

Notes Over 10.7 Factoring Special Products Difference of Two Squares.

How do I Multiply Polynomials? How do I use Binomial Expansion?

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

Solve Quadratic Equations by Completing the Square

Notes Over 10.8 Methods of Factoring Binomial Trinomial

Homework Questions? Daily Questions: How do I Multiply Polynomials?

Classifying, Adding, and Subtracting Polynomials

Objectives Factor perfect-square trinomials.

4.5 & 4.6 Factoring Polynomials & Solving by Factoring

Warm Up Solve by Factoring: Solve by Using Square Roots:

8-6 Solving Quadratic Equations using Factoring

Factoring Trinomials 1 February 1, 2017.

6.4 Factoring Trinomials Day 1.

5.5 Completing the Square.

Completing the Square (3.2.3)

Lesson 7-3 Factoring x² + bx + c

Warm-up 1. After factoring each expression on your warm-up

Adding and Subtracting Polynomials

Lesson 9.7 Factor Special Products

= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)

4.7 Complete the Square.

Classifying, Adding, and Subtracting Polynomials

Factoring a Quadratic Expression

Factor & Solve Polynomial Equations

How do I Multiply Polynomials? How do I use Binomial Expansion?

3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.

Homework Questions? Daily Questions: How do I Multiply Polynomials?

Classifying, Adding, and Subtracting Polynomials

6.7 Factoring a General Strategy

Section Day 1 Difference of Squares Perfect Square Trinomials

Factoring Trinomials Day #1

Warm Up Factor the following: a) b).

2.3 Factor and Solve Polynomial Expressions Review (cont.)

Factor Polynomials Completely

(5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5

How do I solve quadratic equations by factoring?

Review Write the product of the sum and difference. (x + 3) (x – 3)

3.4 Solve by Factoring (Part 1)

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

Complete the Square.

Warm Up answers 1. x 2. 3x²y – 8xy² 3. 7x² - 3x 4. 1 term 5. 2 terms

Section 4.6 Completing the Square

Presentation transcript:

Factoring Take a trinomial and break it into two binomials. Ex: x2 + 7x + 6 = (x + 6)(x + 1)

Notes X2 + 3x + 2 ( + )( + ) X2 - 3x - 2 ( + )( - )

factoring x2 - 4x - 21 X2 – 9x + 20 X2 + 6x + 8 X2 + 4x + 4

Factoring X2 – x - 8 X2 – 8x + 15 X2 + 9x + 14 X2 + 3x + 5

Factoring X2 - 2x - 24 X2 + 4x + 3 X2 + 8x + 7 X2 + 2x - 3

Factor x2 – 5x + 4 X2 – 4x + 4 X2 – 8x + 7 X2 – 7x + 12

Solve by Factoring X2 – 11x + 28 = 0 X2 – 3x – 10 = 0

Solve by factoring X2 + 4x + 3 = 0 X2 – 5x + 4 = 0 X2 + 5x – 6 = 0

Homework (factor the trinomial and solve) X2 + 6x + 5 x2 + 8x – 9 X2 + 5x – 3 x2 – x – 20 x2 + 8x + 16 x2 – 3x – 18 M2 – 7m – 30 w2 + 13w + 36 B2 + 3b – 40 x2 + 7x + 10 X2 + 5x – 14 x2 + 6x + 9 X2 + 16x + 15 x2 – 20x + 100