Choosing a Strategy for Factoring a Polynomial. You have learned various strategies for factoring different polynomials but when given a random polynomial.

Slides:



Advertisements
Similar presentations
Holt Algebra Factoring x 2 + bx + c Warm Up 1. Which pair of factors of 8 has a sum of 9? 2. Which pair of factors of 30 has a sum of –17? Multiply.
Advertisements

Review: 6-2c Mini-Quiz 1. Factor 4x 2 – 32x Factor 3. Factor 9x x – Factor 3a a a 3x 2 + 5x + 6.
Warm Up. Essential Question: How do you factor a polynomial without a middle term?
Factoring Algebraic Expressions Multiplying a Polynomial by a Monomial Multiplying a Binomial by a Binomial Dividing a Polynomial by a Monomial Dividing.
Objectives Choose an appropriate method for factoring a polynomial.
Algebra II Honors—Day 18. Goals for Today Pick up a whiteboard, marker, and eraser. Show me your homework “Special Binomials” for a homework stamp Warmup.
EXAMPLE 3 Use synthetic division Divide f (x)= 2x 3 + x 2 – 8x + 5 by x + 3 using synthetic division. – – 8 5 – 6 15 – 21 2 – 5 7 – 16 2x 3 + x 2.
FACTORING. Factoring a Monomial From a Trinomial.
Factoring Polynomials By Dr. Carol A. Marinas © Copyright 2010 Carol A. Marinas.
Perfect Square Trinomials and Difference of Perfect Squares
Chapter 6 Factoring Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1.
Adding and Subtracting Polynomials. 1. Determine the coefficient and degree of each monomial (Similar to p.329 #26)
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 6 Factoring.
3-1 © 2011 Pearson Prentice Hall. All rights reserved Chapter 6 Exponents, Polynomials, and Polynomial Functions Active Learning Questions.
6-7 Factoring: A General Strategy Warm-up Problems Factor
© William James Calhoun, : Perfect Squares and Factoring OBJECTIVE: You will identify and factor perfect square trinomials. These two tools are.
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
EXAMPLE 3 Factor by grouping Factor the polynomial x 3 – 3x 2 – 16x + 48 completely. x 3 – 3x 2 – 16x + 48 Factor by grouping. = (x 2 – 16)(x – 3) Distributive.
Multiplying Polynomials *You must know how to multiply before you can factor!”
Quadratic Relations Polynomials Day 7: Trinomial Factoring Thursday, November 26, 20151Day 7 - Trinomial Factoring.
Factoring Special Products MATH 018 Combined Algebra S. Rook.
Warm Up ~ 10-4~Factoring Sums and Differences of Squares Factor each polynomial: 1.x x Factor each perfect square. If not a perfect square,
1.Is it More, Less, or Exactly Half? 2. Is it More, Less, or Exactly Half?
1/5/2016 Opener 1. (2m 3 – 4m 2 – 11) – (7m 3 – 3m 2 + 2m) 2. (4x + 2) (6x – 8) -5m 3 – m 2 – 2m – 11 24x 2 – 20x – 16.
Page 452 – Factoring Special
Understanding Polynomials
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.
Chapter 5 Part 1 Test Prep 5-1: Monomials 5-2: Polynomials 5-3: Division of Polynomials 5-4: Factoring Choose a section to work on. At any time you may.
Strategies for Factoring
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
Warmups – factor. 1) Write the prime factorization: 224 2) x 2 +19x ) 49y y ) 5xy + 15x + 4y + 12.
EXAMPLE 3 Factor by grouping Factor the polynomial x 3 – 3x 2 – 16x + 48 completely. x 3 – 3x 2 – 16x + 48 Factor by grouping. = (x 2 – 16)(x – 3) Distributive.
Adding and Subtracting Polynomials. 1. Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient.
Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina.
 Adding and Subtracting Polynomials. What is a monomial? Give an example. 1.
Bingo.
Bingo Bingo Summary of questions Answers.
Example 2 Factor the polynomial. 12n n2 a. – 36 + = ( ) 2 n2 –
Factor each trinomial x2 + 40x + 25 (4x + 5)(4x + 5)
Dividing Polynomials.
Factor. x2 – 10x x2 – 16x + 1 Multiply. 3. (4x- 3y)(3x +4y)
Lesson 7.6 EQ: How do you factor a polynomial when leading coefficient is not 1? Topic/Objective: To factor trinomials in the form ax2 +bx + c   Factor.
9/15/2018 Factor 10x – 10y 10(x – y).
بسم الله الرحمن الرحيم هل اختلف دور المعلم بعد تطبيق المنهج الحديث الذي ينادي بتوفير خبرات تعليمية مناسبة للطلبة ؟ هل اختلف دور المعلم ؟ ن.ن. ع.
د.سالم بني عطا استراتيجيات التدريس Teaching Strategies
المدخل إلى تكنولوجيا التعليم في ضوء الاتجاهات الحديثة
סדר דין פלילי – חקיקה ומהות ההליך הפלילי
Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.
12/25/2018 Opener (2m3 – 4m2 – 11) – (7m3 – 3m2 + 2m)
Subtracting Polynomials
Factor & Solve Polynomial Equations
3.5 Many of the topics in 3.5 will be a review of concepts worked on in gr. 9. Lets see what you remember.
Choose the best answer for each problem.
Factoring Trinomials in the form x2 + bx + c

Factoring: A General Strategy
Dividing Polynomials.
Lesson 9.8 Factor Polynomials Completely
You must show all steps of your working out.
Factor Polynomials Completely
ALGEBRA I - REVIEW FOR TEST 3-3
Question 1.
6.6 Factoring Polynomials
Learning Target: I will be able to identify polynomials
Review: 6.4a Mini-Quiz 1. Factor Factor x2 4. Factor 16
Factoring Polynomials First: Look for a GCF 4 Second: Number of Terms 2 3 Cubes Squares Perfect Square Trinomial Grouping X 2 – 9 X 3 – 27 = (x - 3)
Factoring Polynomials, Special Cases
Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:
Presentation transcript:

Choosing a Strategy for Factoring a Polynomial

You have learned various strategies for factoring different polynomials but when given a random polynomial with a general instruction to factor it, where do you start?

STEP 1: Do all terms of the polynomial have a common factor? If yes, factor it out.

STEP 2: Consider the number of terms of the polynomial..

Trinomial

Four-Term Polynomial

STEP 3: Consider if any of the resultant factors can be factored further.

Summary

Practice Problems

Answer Key to Practice Problems