TODAY IN GEOMETRY… Learning Goal: You factor binomials and trinomials.

Slides:



Advertisements
Similar presentations
Solving Systems Using Substitution or Elimination Circuit #1 Solve each system using substitution or elimination.
Advertisements

4.3 Solve x2 + bx +c = 0 by Factoring
How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.
Solving Quadratic Equations Using Square Roots & Completing the Square
EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.
Completing the Square Perfect Square Trinomials: Factor: This is called a perfect square trinomial because the factors are the same. So we can rewrite.
13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
Warm Up Write each expression as a trinomial. Factor each expression.
5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.
Algebra Core Review Day 7
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
5.4 Completing the Square Warm-up (IN) Factor Solve Learning Objective: To use completing the square to solve quadratic equations.
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
Lesson 10.5 Factoring Objective: To factor a quadratic trinomial of the form Factoring a trinomial is the opposite of multiplying two binomials. Example:
Quadratic Relations Polynomials Day 7: Trinomial Factoring Thursday, November 26, 20151Day 7 - Trinomial Factoring.
WARM UP Find the product. 1.) (m – 8)(m – 9) 2.) (z + 6)(z – 10) 3.) (y + 20)(y – 20)
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
Section 10.6 Factoring Objectives: Factor a quadratic expression of the form Solve quadratic equations by factoring.
Complex Numbers FactoringGraphing Quadratic Function Vocab 200.
Why we complete the square  We have learned how to factor quadratic expressions to solve.  Many quadratic equations contain expressions that cannot be.
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
Elimination Method Day 2 Today’s Objective: I can solve a system using elimination.
Section 5.4 Factoring Quadratic Expressions Obj: to find common and binomial factors of quadratic expressions.
Essential Question: How is the process of completing the square used to solve quadratic equations? Students will write a summary of how they use completing.
Solve a quadratic equation by finding square roots
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Today in Algebra 2 Get a calculator. Go over homework Notes: –Solving Systems of Equations using Elimination Homework.
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
TODAY IN GEOMETRY… Review methods for solving quadratic equations
Section 5.4 Day 2 Obj: to find the binomial factors of quadratic expressions when a >1.
Equations Quadratic in form factorable equations
Quadratic Expressions and Equations
Perfect Square Trinomials:
Chapter 12 Section 1.
Objectives Solve quadratic equations by completing the square.
Completing the Square.
4.5 & 4.6 Factoring Polynomials & Solving by Factoring
Elimination Method Day 1
Factoring the Difference of Two Squares
Write each expression as a trinomial.
Solving Quadratic Equations by the Complete the Square Method
Solving Systems using Substitution
Solve Quadratic Equations by Completing the Square
5.5 Completing the Square.
Completing the Square (3.2.3)
Warm-up 1. After factoring each expression on your warm-up
Solving Quadratic Equations
I CAN solve equations using the Quadratic Formula. lesson 9.4a.
Quadratics in Vertex Form
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
4.7 Complete the Square.
Factoring a Quadratic Expression
Unit 2A Test - Quadratics
5.5 Completing the Square.
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m Warm up Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Solving Quadratics by Factoring
Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m Warm up Solve. 2x – 7 = 3x c + 9 = c + 1 3m – 12 = m.
Factoring a Quadratic Expression when a is not 1
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Equations Quadratic in form factorable equations
Squaring a binomial.
How do I solve quadratic equations by factoring?
Factoring Take a trinomial and break it into two binomials.
5 minutes Warm-Up Solve. 2) 1).
Presentation transcript:

TODAY IN GEOMETRY… Learning Goal: You factor binomials and trinomials. In Class Practice

FACTORING BINOMIALS EXAMPLE: Factor the common factor out of each expression 1. −35 𝑝 5 +42𝑝 2. 20 𝑥 3 +30 𝑥 2 3. −21 𝑥 4 +70 𝑥 2 4. 6 𝑥 4 +54𝑥 7𝑝(−5 𝑝 4 +6) 10 𝑥 2 (2𝑥+3) 7 𝑥 2 (−3 𝑥 2 +10) 6𝑥( 𝑥 3 +9)

FACTORING BINOMIALS PRACTICE: Factor the common factor out of each expression 1. 15 𝑚 4 −10 2. 90 𝑏 2 −9 3. 40 𝑥 6 +72𝑥 4. 9 𝑛 5 +27 𝑛 3 5(3 𝑚 4 −2) 9(10 𝑏 2 −1) 8𝑥(5 𝑥 5 +9) 9 𝑛 3 ( 𝑛 2 +3)

FACTORING BINOMIALS AND TRINOMIALS WS: Work on problems 1-10 20 Minutes

FACTORING TRINOMIALS EXAMPLE 1: Factor then solve the following quadratic equations. 1. 𝑥 2 −2𝑥−35 2. 𝑥 2 +6𝑥+5 ∗ + ∗ + −35 5 𝟓 −𝟕 𝟏 𝟓 −2 6 𝑥+1 𝑥+5 𝑥+5 𝑥−7

FACTORING TRINOMIALS EXAMPLE 2: Factor then solve the following quadratic equations. 1. 𝑥 2 +13𝑥+40 2. 𝑥 2 +11𝑥+28 ∗ + ∗ + 40 28 𝟓 𝟖 𝟕 𝟒 13 11 𝑥+7 𝑥+4 𝑥+5 𝑥+8

FACTORING TRINOMIALS PRACTICE: Factor then solve the following quadratic equations. 1. 𝑥 2 +5𝑥−36 2. 𝑥 2 −12𝑥+32 ∗ + ∗ + −36 32 𝟗 −𝟒 −𝟖 −𝟒 5 −12 𝑥−8 𝑥−4 𝑥+9 𝑥−4

Factor Binomials and Trinomials WS IN CLASS WORK #2: Factor Binomials and Trinomials WS Previous Assignments: HW#1: Substitution and Elimination WS ***IF YOU ARE DONE WITH EVERYTHING, ASK ABOUT EXTRA CREDIT