Question

Part 1: Create your own factorable trinomial.

Part 2: Explain, in complete sentences, how the trinomial is factored.

Part 3: Explain, in complete sentences, the process used to check the factors for accuracy.

Answer 1

x^2 - 8x + 12 = 0

this factors to product of 3 binomials of the form
( x +- a(x+-b)

to find a and b:

we need two numbers whose product is + 12 and whose sum is -8
a little thought gives you -6 and -2

so factors are (x - 6)(x - 2)

to check this expand the brackets:

x*x -2*x -6*x -6*-2

= x^2 - 2x - 6x + 12
= x^2 -8x + 12
which is our original trinomial

Answer 2

* product of 2 binomials