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HOW TO FACTORING ALGEBRAIC EXPRESSION

HOW TO FACTORING ALGEBRAIC EXPRESSION
Given the Example:


Factoring algebraic expression of  8x + 6y

Answer:

To factoring algebraic expression, for each term has common factor/divisor e.g 2

= 2.4x + 2.3y

write 2 in front of the bracket

= 2 (4x + 3y)


Word Problems ( Just fiction stories)



1) In a car donation, a wedding picture bussinessman wants to give 6 jeeps and 4 mini buses equally to a  group of car donation agencies. Calculate the largest possible numbers of agencies in the group.


Answer:

6 jeeps + 4 mini buses

To factoring algebraic expression above, for each term has common factor/divisor e.g 2

2.3 jeeps + 2.2 mini buses


write 2 in front of the bracket

( 3 jeeps + 2 mini buses )


So, the largest possible numbers of agencies is 2, will be given equally.



2) In a charity day, a mesothelioma attorney wants to give 25 computers and 30 laptops equally to a group of schools. Calculate the largest possible numbers of schools in the group.

Answer:

25 computers + 30 laptops

To factoring algebraic expression above, for each term has common factor/divisor e.g 5


5.5 computers + 5.6 laptops

write 5 in front of the bracket

5 ( 5 computers + 6 laptops)

So, the largest possible numbers of schools is 5, will receive equally.

3) A hotels and cottages bussinessman wants to put 12 gold bars and 8 diamonds equally to a group of boxes. Calculate the largest possible numbers of boxes in the group.

Answer:

12 gold bars + 8 diamonds

To factoring algebraic expression above, for each term has common factor/divisor e.g 4

4.3gold bars + 4.2 diamonds


write 4 in front of the bracket

4 ( 3gold bars + 2 diamonds)


So, the largest possible numbers of boxes is 4, will put inside it equally.

Other Example

Example 1:

Factoring algebraic expression of  15a + 10b

Answer:

To factoring algebraic expression above, for each term has common factor/divisor e.g 5

= 5.3a + 5.2b

write 5 in front of the bracket

= 5 (3a + 2b)

Example 2:

Factoring algebraic expression of  15ax + 20ay

Answer:

To factoring algebraic expression above, for each term has common factor/divisor e.g 5a

5a.3x + 5a.4y

write 5a in front of the bracket

5a (3x + 4y)



Example 3:

Factoring algebraic expression of  30bz + 21az

Answer:

To factoring algebraic expression above, for each term has common factor/divisor e.g 3z

3z.10b + 3z.7a

write 3z in front of the bracket

= 3z (10b + 7a)


Example 4:


Factoring algebraic expression of  xy + 2y + 10 + 5x

Answer:

To factoring algebraic expression above, for xy + 2y has common factor/divisor e.g y,
for 10 + 5x has common factor/divisor e.g 5.

y.x + y.2 + 5.2 + 5.x

write y and 5 in front of the bracket

y (x+2) + 5 (2+x)

Now, all terms has common factor e.g (2+x)

write (2+x) in front of the bracket

= (2+x) (y+5)

2 comments

Anonymous
18 January 2013 at 21:19

How to factoring algebraic expression 4ab - 8bc + 5bm ??? :)

Reply
20 January 2013 at 00:00

in algebraic expression that you mentioned, for each terms has common factor e.g b
write b in front of the bracket
So , b (4a - 8c + 5m )

Reply

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