SOLUTION: ok i dont know what categorey it goes in.. but i need help on changing trinomials into binomials. I am a visual learner so please show me how to convert them.

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Question 51134: ok i dont know what categorey it goes in.. but i need help on changing trinomials into binomials.
I am a visual learner so please show me how to convert them.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
It seems to me that you are into "factoring" trinomials, which is basically a process of converting trinomials into binomial factors. Of course, not all trinomials can be factored, but "factoring trinomials" constitutes an entire lesson for those that can be factored.
Here's an elementary example:
Factor the following expression:
x%5E2%2B3x%2B2
The factors will be two "binomials" of the following form:
%28x%2Ba%29%28x%2Bb%29 You'll need to find the values of a and b. These two binomial factors, when multiplied together will result in the original trinomial expression.
Comparing the binomial factors with the trinomial, you can write this:
x%5E2%2B3x%2B2+=+x%5E2+%2B+%28a%2Bb%29x+%2B%28a%2Ab%29 so this means that:
a+b = 3 and a*b = 2
What are the possibilities?
a = 1 and b = 2 or
a = 2 and b = 1
Let's try these in the binomial forms and see what we get.
x%2B1%29%28x%2B2%29 Multiply these factors using the FOIL method.
%28x%2B1%29%28x%2B2%29+=+x%5E2%2B2x%2Bx%2B2 Simplifying this, we get:
x%5E2%2B3x%2B2 The original trinomial!

You would get exactly the same result if you used:
a = 2 and b = 1