> HXkRU - NWV4I WILL WORK THROUGH WITH YOU THE STEPS NEEDED TO DFACTOR AN EXPRESSION WITH 2 TERMS LIKE 2X+4. IN ORDER TO FACTOR .AN EXPRESSION YOU MUST FOLLOW THESE RULES. &1. DETERMINE THE NUMBER OF TERMS. $2. BE ABLE TO FACTOR EACH TERM. 63. FIND THE GREATEST COMMON FACTOR OF ALL TERMS. .4. FACTOR OUT THE GREATEST COMMON FACTOR. 4WE WILL GO THROUGH AN EXAMPLE USING ALL 4 RULES. 8PRESS THE LETTER C KEY WHEN YOU ARE READY TO GO ON. C *NOW FOR AN EXAMPLE OF FACTORING 4X+2 .PLEASE PRESS THE LETTER C KEY TO CONTINUE.  RULE 1 *DETERMINE THE NUMBER OF TERMS IN 4X+2. >TERMS ARE SEPARATED BY ADDITION OR SUBTRACTION SIGNS (+,-) @THIS MEANS THAT 4X IS SEPARATED FROM 2 BY AN ADDITION SIGN, SO THAT EACH ONE IS A TERM. &THE CORRECT NUMBER OF TERMS IS 2. $PRESS THE LETTER C TO CONTINUE. C  RULE 2 (BE ABLE TO FACTOR EACH TERM OF 4X+2. 6A NUMBER CAN BE DIVIDED EVENLY BY ALL ITS FACTORS. "THIS MEANS THAT THE FACTORS OF > 4X ARE: 1,2,4,X,2X,4X ALL CAN BE MULTIPLIED BY A @ WHOLE NUMBER TO GIVE THE 8 ORIGINAL NUMBER. THE FACTORS OF 2 ARE: 1,2 (PRESS THE LETTER C KEY TO CONTINUE. C  RULE 3 4FIND THE GREATEST COMMON FACTOR OF THE TERMS OF THE EXPRESSION 4X+2. REMEMBER THE FACTORS ARE: 4X: 1,2,4,X,2X,4X 2: 1,2 4IN ORDER TO FIND THE LARGEST COMMON FACTOR FIND 6THE LARGEST NUMBER OR EXPRESSION THAT BOTH 4X AND 2 HAVE THE SAME. ,THE LARGEST FACTOR THAT BOTH HAVE IS 2. 2THIS IS THE LARGEST OR GREATEST COMMON FACTOR. $PRESS THE LETTER C TO CONTINUE. C *PLEASE TYPE THE LETTER C TO CONTINUE.  RULE 4 4FACTOR OUT THE GREATEST COMMON FACTOR FROM EACH 4TERM OF 4X+2. REMEMBER THAT THE GREATEST COMMON FACTOR IS EQUAL TO 2. $PRESS THE LETTER C TO CONTINUE. C LET'S FACTOR 4X+2. 6IF YOU FACTOR THE GREATEST COMMON FACTOR OUT OF 4X 6THE REMAINING FACTOR IS 2X AND WHEN YOU FACTOR THE 8GREATEST COMMON FACTOR OUT OF 2 THE REMAINING FACTOR >IS 1. THE 2 REMAINING FACTORS ARE GROUPED TOGETHER IN THE 4() SIGNS. THESE ARE SEPARATED BY A + OR - SIGN. @THE GREATEST COMMON FACTOR WHICH IS 2 IS LOCATED IN FRONT OF $THE () SIGNS. EXAMPLE 2(2X+1). 6WHEN WE FACTOR 4X+2 THE CORRECT ANSWER IS 2(2X+1). $PRESS THE LETTER C TO CONTINUE. C <4X+2 IN FACTORED FORM IS 2(2X+1). YOU SHOULD BE ABLE TO DMULTIPLY THE FACTORED FORM AND GET THE ORIGINAL 4X+2 EXPRESSION BACK. CHECK: 2(2X+1)=4X+2. $PRESS THE LETTER C TO CONTINUE. C LET'S TRY FACTORING 9X+12 *RULE 1- DETERMINE THE NUMBER OF TERMS. HOW MANY TERMS ARE THERE? 2 GREAT!!!! :REMEMBER THAT EACH TERM IS SEPARATED BY A + OR - SIGN.  @FACTOR 9X+12. THE 9X AND THE 12 ARE SEPARATED BY ONE +SIGN. 2THE 9X AND THE 12 ARE EACH COUNTED AS A TERM. (THE CORRECT NUMBER OF TERMS THEN IS? 2 GOOD. 6THE CORRECT ANSWER IS 2. THE 9X IS THE FIRST TERM "AND THE 12 IS THE SECOND TERM.  LET'S TRY ONE MORE! &THE NUMBER OF TERMS IN 4X+2Y-1 IS? 3 0TERRIFIC. NOW BACK TO OUR ORIGINAL PROBLEM. >PLEASE SEE YOUR TEACHER FOR EXTRA HELP ON DETERMINING THE NUMBER OF TERMS. DNOW THAT WE HAVE DETERMINED THERE ARE 2 TERMS IN THE EXPRESSION 9X+12 LET'S TRY RULE 2. (RULE 2- BE ABLE TO FACTOR EACH TERM. 2ARE THESE ALL THE FACTORS OF EACH? YES OR NO? " 9X - 1,3,9,X,3X,9X 12 - 1,2,3,4,6,12 YES FGREAT. YOU REALIZED THAT THESE WERE ALL THE FACTORS OF EACH TERM. :THE CORRECT ANSWER IS YES. THESE ARE ALL THE FACTORS.  @REMEMBER THAT A FACTOR MUST BE MULTIPLIED BY A WHOLE NUMBER *OR A VARIABLE TO EQUAL THE EXPRESSION. > 9X - 1,3,9,X,3X,9X EACH CAN BE MULTIPLIED BY ANOTHER 0 NUMBER TO EQUAL 9X. B 12 - 1,2,3,4,6,12 EACH CAN BE MULTIPLIED BY A NUMBER TO & EQUAL 12. $PRESS THE LETTER C TO CONTINUE. C 2ARE THESE ALL THE FACTORS OF 4X+3? YES OR NO? 4X - 1,4,4X 3 - 1,3 NO ,RIGHT. I GUESS YOU REALLY DO KNOW THIS. 6THE CORRECT ANSWER IS NO. PLEASE ASK YOUR TEACHER 4FOR EXTRA HELP ON FACTORING AND FINDING FACTORS. 6RULE 3 - FIND THE GREATEST COMMON FACTOR OF 9X+12. 9X - 1,3,9,X,3X,9X 12 - 1,2,3,4,6,12 (WHAT IS THE GREATEST COMMON FACTOR? 3 GOOD. WE HAVE ALREADY DETERMINED THAT THE GREATEST COMMON FACTOR BIS 3 SO IF YOU FACTOR OUT THE 3 WHAT WOULD THE FACTORED ANSWER OF 9X+12 LOOK LIKE? 3(3X+4) GREAT 3X+4 BTHIS IS THE CORRECT SECOND FACTOR, BUT PLEASE TYPE THE ENTIRE FACTORED FORM. TRY FACTORING 8X+6 WHERE 2 IS THE GREATEST COMMON FACTOR. PLEASE FACTOR COMPLETELY. 2(4X+3) TERRIFIC! >PLEASE SEE YOUR TEACHER FOR SOME EXTRA HELP ON FACTORING. 4I WILL NOW GIVE YOU SOME PROBLEMS ON FACTORING. " REMEMBER THE FOUR RULES: * 1) DETERMINE THE NUMBER OF TERMS ( 2) BE ABLE TO FACTOR EACH TERM , 3) FIND THE GREATEST COMMON FACTOR @ 4) FACTOR OUT THE GREATEST COMMON FACTOR AND GROUP THE REMAINING TERMS >AFTER YOU HAVE READ THE RULES AND ARE READY TO GO ON PRESS THE LETTER C TO CONTINUE. C DIT IS NOW ALL UP TO YOU. TRY TO GET AS MANY RIGHT AS POSSIBLE. GOOD LUCK! FACTOR 8X+12 COMPLETELY. 4(2X+3) GOOD. >THE CORRECT ANSWER IS 4(2X+3). REMEMBER TO FACTOR OUT THE "GREATEST COMMON FACTOR FIRST. FACTOR 6X+24 COMPLETELY: 6(X+4) GREAT! 2(3X+12) DYOU HAVE FACTORED BUT NOT COMPLETELY. THE CORRECT ANSWER WOULD 4BE 6(X+4) WHERE 6 IS THE GREATEST COMMON FACTOR. @THE CORRECT ANSWER IS 6(X+4), WHERE 6 IS THE GREATEST COMMON FACTOR. FACTOR 12X+3 COMPLETELY. 3(4X+1) RIGHT! THE CORRECT ANSWER IS 3(4X+1) WHERE 3 IS THE GREATEST COMMON FACTOR. PLEASE TELL YOUR TEACHER THAT YOU ARE STILL HAVING PROBLEMWITH THE FACTORING. FACTOR 15X+12 COMPLETELY. 3(5X+4) THAT'S CORRECT. BTHE CORRECT ANSWER IS 3(5X+4), WHERE 3 IS THE GREATEST COMMON FACTOR. FACTOR COMPLETELY: 3X+21. 3(X+7) SUPER. @THE CORRECT ANSWER IS 3(X+7). PLEASE TELL YOUR TEACHER THAT @YOU STILL NEED TO REVIEW AND RECEIVE SOME HELP ON FACTORING. FACTOR 24X+8 COMPLETELY. 8(3X+1) >TERRIFIC. YOU REALLY DO HAVE THE RIGHT IDEA. YOU ARE NOW ,READY FOR THE NEXT SECTION OF MATERIAL. FRIE05JTHE CORRECT ANSWER IS 8(3X+1), WHERE 8 IS THE GREATEST COMMON FACTOR. FACTOR 9X+6 COMPLETELY. 3(3X+2) RIGHT. BTHE CORRECT ANSWER IS 3(3X+2), WHERE 3 IS THE GREATEST COMMON DFACTOR. PLEASE TELL YOUR TEACHER THAT YOU STILL NEED TO REVIEW :THE MATERIAL AND THEN TRY THE PROGRAM A LITTLE LATER. FACTOR COMPLETELY: 16X+4. 4(4X+1) BSUPER!!! YOU HAVE DONE A GOOD JOB AND YOU CAN NOW GO TO SOME MORE MATERIAL. FRIE05BTHE CORRECT ANSWER IS 4(4X+1). PLEASE TELL YOUR TEACHER THAT FYOU NEED TO REVIEW A LITTLE AND THEN TRY THE PROGRAM AGAIN LATER. RIGHT. BTHE CORRECT ANSWER IS 3(3X+2), WHERE 3 IS THE GREATEST COMMON DFACTOR. PLEASE TELL YOUR TEACHER THAT YOU STILL NEED TO REVIEW :THE MATERIAL AND THEN TRY THE PROGRA