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)
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)
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)
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)
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
= 2 ( 3 jeeps + 2 mini buses )
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
= 2 ( 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
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)
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)
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)
How to factoring algebraic expression 4ab - 8bc + 5bm ??? :)
ReplyDeletein algebraic expression that you mentioned, for each terms has common factor e.g b
Deletewrite b in front of the bracket
So , b (4a - 8c + 5m )