This week I learned how to factor polynomials with three terms and determine if a trinomial is factorable. this can be done by first finding variable a which is the coefficient of the squared variable. the variable b is the variable with a power of 1 coefficient lastly the c variable is the constant. After this find, two numbers that add to b and multiply to c if there aren’t trinomial is not factorable anymore. you can show factors by having two polynomials each with one of the numbers we found and multiply those two polynomials together to check again.

An example of this is if we factor the trinomial x^2+6x+8 we find that 6 is b and 8 is C next we see the two numbers that add two 6 and multiply to 8 which are 2 and 4 because 2+4=6 and 2×4=8. we then write the factored polynomial like (x+2)(x+4). Another example of factoring trinomial can be shown with x^2+9x+8 we find that 9 is b and 8 is C next we see the two numbers that add two 1 and multiply to 8 which are 1 and 8 because 1+8=9 and 1×8=8. we then write the factored polynomial like (x+8)(x+1) we can also check to make sure that this is the right answer by solving the expression with the distributive law.