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Answer:
(x+4)(x+18)
Explanation
Let's factor x2+22x+72
x2+22x+72
The middle number is 22 and the last number is 72.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 22
Multiply together to get 72
Can you think of the two numbers?
Try 4 and 18:
4+18 = 22
4*18 = 72
Fill in the blanks in
(x+_)(x+_)
with 4 and 18 to get...
(x+4)(x+18)
Answer:
(x+4)(x+18)
Answer:
(x+4)(x+18)
Step-by-step explanation:
Using the factorisation method :
We need 2 numbers that multiply to give +72 and add to give +22 :
To find these numbers we write out all the factors of 72 :
1, 72
2 , 36
3 , 24
4 , 18 ----> These must be the numbers as 4+18 = 22
Now we split +22x into +4x and +18x :
x² + 4x + 18x + 72
Factor the first 2 terms together and the last two terms :
x(x+4) + 18(x+4)
Keep 1 bracket and terms outside the brackets collect them into one:
(x+4)(x+18)
This is our final answer
Hope this helped and have a good day