# Algebraics – Support

Listed below are issues, questions, and suggestions identified via e-mails or reviews on the App Store, along with our best attempts to answer or address them. Thanks to everyone who provided reviews (and especially thanks to those that provided constructive feedback and helpful suggestions)!

Got your own issues, questions, or suggestions? Please write us at any time!

### 1. One should be able to get a GCF [greatest common factor] of more than 2 numbers. Good attempt...thank you for creating something like this.

Thanks for the suggestion! Version 1.2 can now factor and calculate GCF & LCM (lowest common multiple) for up to 10 numbers.

### 2. What is the Δ symbol mean when calculating roots?

Δ represents the discriminant, which gives information about a polynomial’s roots.

For quadratics, Δ = b² - 4ac. If Δ > 0, two distinct real roots (solutions) exist. If Δ < 0, two distinct complex roots exist. Each of the complex roots have the same real component and opposite imaginary components. If Δ = 0, a single real root exists that is repeated (x₁ = x₂).

For cubics, Δ = b²c² - 4ac³ - 4b³d - 27a²d² + 18abcd. If Δ > 0, three distinct real roots exist. If Δ < 0, there is one real root and two distinct complex roots exist. Each of the complex roots have the same real component and opposite imaginary components. If Δ = 0, all roots are real and at least two are the same.