Question 374311: I need to factor out this problem. I am missing a step. Can you explain how I factor?
5x^2+34x+24
Answer by Earlsdon(6294)   (Show Source):
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  and  such that 
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:
 Notice the  and 
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:
|
|
|
