AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Factoring

factoring

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Mathematics
Elementary algebra
Polynomials
Corporate finance
Working capital management
Algebra
Trinomial
Factoring
Binomial
Quadratic equation
Factor

Section 4.3: Solve by Factoring Vocabulary ? Monomial: OA 4?ct&in j?W ? Binomial: cuij e'ICS 1uX i-ewis Trinomial: CLAA Cc(.1 tJ9 :!2i *ermS *Some binomials and trinomials will have a Greatest Common Factor (GCF) that we will factor ou7 when factoring ? Solutions to a Quadratic Equation: X-'zef1 (O*5 so W )(-V 0 Greatest Common Factoring Ex1: Factor 3x2 +9x QCF? Ex 2: Factor 4x + 6 .. 3x(*-s x+3) Factoring a Trinomial with a leading coefficient of 1 (iejjx2 + bx + c) -Iind luy 'f&r&c -mc** Ex 3: Factor X2 - 9x+ 20 C, (x-5 I X-4 ) Ex 5: Factor x2 - 3x ?18 (-)(x+3) (14-C oxILt Ex4: Factor x2_3x+93 a tb :: -3 - 01 rj -.t - - - - Special Factoring Patterns ? Difference of Perfect Squares: a2 - - b)(a + b) Ex 6: Factor x2 - 9 xX 3

Factoring Trinomials

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Algebra
Trinomial
Factoring
Technology
(Back to the Intermediate Algebra Homepage) (Back to the GRE Math Help Page) (Back to the THEA Math Help Page) -------------------------------------------------------------------------------- Intermediate Algebra Tutorial 28: Factoring Trinomials Learning Objectives After completing this tutorial, you should be able to: Factor a trinomial of the form . Factor a trinomial of the form . Factor using substitution. Indicate if a polynomial is a prime polynomial. Introduction

Factoring Trinomials

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Digital media
Factoring
Financial accounting
World Wide Web
CNote
Internet
Humanities
Technology

Guide to Factoring 1) Factor out the GCF (always factoring out at least a ?1 if needed). 2) Factor the remaining polynomial based on the number of terms: two terms Difference of two squares ? a2 ? b2 If so, factor it as (a+ b)(a ? b) OR Difference or sum of two cubes A3 + B3 = (A + B)(A2 ? AB + B2) A3 ? B3 = (A ? B)(A2 + AB + B2) three terms Perfect Square Trinomial ? a2 + 2ab + b2 or a2 ? 2ab + b2 If so, factor it as (a + b)2 if the middle term in positive and (a? b)2 if the middle term is negative. Trinomial ? x2 + bx + c (no coefficient on the leading term) If so, find two numbers with product = c and sum = b Factor the trinomial as (x + ?)(x + ?), putting those two numbers in for the ??s. Trinomial ? ax2 + bx + c (coefficient on the leading term)

Steps for Factoring Polynomials

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Algebra
Arithmetic
Factorization
Polynomial
Factoring
World Wide Web
CNote
Film
Animation
Humanities
Tags: 
Algebra
factor
polynomials
steps
1. Pull out greatest common factor or GCF [This is a very important step that is often skipped] Ex: or 2. Look at number of terms a. 2 Terms: If there are two terms (binomial), then check to see if it is i. A difference of squares: Ex: ii. A difference of cubes Ex: iii. A sum of cubes Ex: If there are two terms and the expression is none of the above, it is prime! b. 3 Terms: If there are three terms (trinomial), then factor into two binomials thinking of the FOIL method in reverse. Find factors of c that add up to b. Start by identifying the factors of c. The sign before c determines whether signs are the same or different in the 2 binomials that are produced, .

Pages

Subscribe to RSS - Factoring

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!