What I learned- This week I learned how to factor binomials and trinomials through a process of multiple steps.
What is factoring?- Factoring is when you reduce all the coefficiants, terms, constants etc. to the point where they can not be reduced any longer.
Factoring Binomials and trinomials-
- Determine if there is a Great Common Factor- If there is you can divide the number by the GCF and place the GCF on the outside of the bracket (Works with Coefficiants as well as variables)
- Determine if the numbers in the equation (all of them) are perfect squares- As well as the last term must be negative or use subtraction. Use the conjugate technique.
Factoring trinomials uses the same steps as Binomials except you add a term- In a simple trinomial the first term will always be X multiplied with X which will equal . Then you must find two multiples of the third term that can be added together to equal the second term- For example if it was 10x+21, the multiples of 21 are 7 and 3- 7+3 equals 21. These two numbers would be split into 2 sets of brackets along with the 2 x’s. So it would end up looking like (x+7)(x+3).