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

Part 1:
x^2 - 5x + 6

Answer 2

(x - 3)(x - 2)

But you can always apply the formula for the roots of a quadratic:

ax² + bx + c

[-b +/- √(b² - 4ac)]/2a

In your case its

[5 +/- √(25 -4 * 6 * 1] / 2 =

(5 +/- √1)/2 = 6/2 and 4/2 = 3 and 2

So your roots are (x - 3) and (x - 2)