You can put this solution on YOUR website!
How to factor:
To factor this trinomial, you need to find two binomials which, when multiplied, will give you the original trinomial.
In other words, find
First, you look at the coefficient of
, and that's 5.
Now ask what are the factors of 5?
Well, 5 is a prime number, so the factors are 1 and 5.
So you can start with:
Now look at the constant term, that's 24.
You need to find the two integers, m and n, whose product is 24 and whose sum 5*n+1*m = 34.
Let's factor 24.
1X24 = 24
2X12 = 24
3X8 = 24
4X6 = 24
After a little trial & error, you'll find:
5*6+1*4 = 34
So this means that n = 6 and m = 4
Now you can finish by writing: