University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2022
Views:

48

Pages:

6
Author:

SpaceCadet101

Factor Ьу Grouping FACTOR OUT GCF - review Remember: То factor out the GCF from а polynomial: 1. Find the GCF 11. Divide EVERYTERM in the polynomial Ьу the GCF. Write the GCF on the outside of our parentheses. Put all the remainders inside the parentheses. Example: 2х 2 + бх = [2 · х • х] + [2 · З • х] � GCF= 2х = 2х(х + 3) Factor out the GCF from the polynomial. 1) , -9 - 12х3 -20+2Ь 2) -2. _:36,+Ах3) or;, lo - Ь) -2- Сь-10) FACTOR OUT GCF - Try it 1 • Find the Greatest Common Factor. З) 5) -2р 2 +р i- i:i(z�-1) -12х+4 i_-4(3x_-1) l 7 � Sometimes the entire polynomial doesn't have а GCF so we look at it half at а time. The common factor in this example is а Ьinomial ! Example: х 3 - Зх 2 + 4х - 12 == х 3 -3х 2 + 4х - 12 == х 2 (х - З) + 4(х - З) == (х - 3)(х 2 + 4) FACTOR ВУ GROUPING- Steps. 1. 11. 111. IV. Factor out any common factor if you сап (always do this) Put the four terms into two groups. ln each grouping, factor out the GCF. Write down what remains. V. СНЕСК YOUR ANSWERI You should look at using grouping for Factoring when there are 4 Terms. ✓ FACTOR ВУ GROUPING Factor the polynomial. 7} 27р 3 + 9р 2 + 18р + 6 3(/P+�f +, i,p.-tz) з .-3f2(3f+I) + 2.(3r+\11 \ 3(ър +!) (зf-t2) \ FACTOR ВУ GROUPING Sometimes you have to factor out а 1 +i 2х + 1 sl(zx + t 4- 1 (z"'f 1) 8) 1 6х 3 + Зх1 1 FACTOR ВУ GROUPING Ве very careful with negatives. Check as you go . 9} 4n 3 - 4n 2 - бп +6 .· с и "2(-zV\?_-zv?· -�Vl +3J z(zt1-CV1-� -3[n-t� 2.-\r'-I (bl'-3) FACTOR ВУ GROUPING - any volunteers? 11) Lb 3 - ь,2 1 ь + 1 10) ,Зn 3 - 271 2 -, бn + 4....1 J v{-(3() -z - 2(3V\-Z) tJ(Jг 1) - , Lь-1) C9-i)ut-) \А)� \А.) \U- 1'Ь f.дс,,"Т'С?Q..f\,\o � G -,,.в� ---rн �.s g� /,.,.р(Г'� п,. • ' • 10 FACTOR ВУ GROUPING Challenge proЫem: Factor the polynomial. 12) ах - Ьх - ау + Ьу х (�-ь)-�&--ь) Lt1- -ь)(х-о) 11 Assignment: Finish 3.1 worksheet And MathXL 3.1 Remember to show all your steps! 12