Check Factorable Trinomials (Some)
- Author:
- Auston B Cron
This app is designed a tool for students to check their work of factorable trinomials. If the Factored Form is not a product of factors, it will display as a trinomial.
The algorithm does not factor all factorable trinomials, Ex:
Factor this quadratic expression:
a = 5, b = -3, c = 8; a•c = 5•8 or 40
The factors of 40 are {1, 2, 4, 5, 8, 10, 20, 40}. Only factors of the same color can be checked.
The factors of 40 whose sum or difference is -3 (5 - 8)
Hence, the factorable expression is .
5 + (-8) = -3 shows that there is factorable form, 5:(-8) yields (5x – 8) and 5:5 = 1:1 yields (x - 1)
We use a = 5 as the numerator and each factor of -40 = (-8)•5 as a denominator gives factored form:
(5x – 8)(x - 1).
Source: by Omar G. Monteagudo (GGT)