How Do We Factor Trinomial

their is an easy way to to factor trinomials using the diamond method. For example take this trinomial : x^2+10x+25 this problem may look hard but when using the diamond method it becomes very easy.

• We first set up the diamond with 10x on the top and 25 on the bottom. 
• Now we need to find out what two numbers multiply to 25 and add to 10.
• 1 * 25 = 25 but when added 1 + 25 = 26
  5 * 5 = 25 and 5 + 5 = 10.
• Now that we found the two numbers we can now find the answer.
• We can do it the longer way which is x^2 + 5x + 5x + 25
  what dose x^2 +5x have in common one x so we get x(x+5)
  now the same thing with (5x +25) we get 5(x+5) and our final answer is (x+5)(x+5).
• and the shorter way we square root x^2 which is (x+ ) (x+ ) and then we place the two 5's which gives us the same as the longer way which is (x+5) (x+5) 

for more help click on the link below
http://www.youtube.com/watch?v=vVWm2gyROQQ&feature=fvwp&NR=1