Posted by **Ka'Sandra** on Wednesday, August 11, 2010 at 5:14pm.

Part 1: Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring and why?

1. −b

2. b2 − 4ac

3. 2a

Part 2: Create your own quadratic equation. Using complete sentences, and your answer from part 1, determine whether your equation can be solved by factoring.

- math algebra -
**Reiny**, Wednesday, August 11, 2010 at 6:28pm
If b^2 - 4ac is a perfect square, then the roots are rational, and the quadratic can be factored.

- math algebra -
**jai**, Thursday, August 12, 2010 at 5:44am
b^2 - 4ac ==> this is the discriminant

note: for real numbers a, b and c,,

*if b^2 - 4ac < 0 : 2 imaginary roots

*if b^2 - 4ac = 0 : 1 real and distinct root

*if b^2 - 4ac > 0 : 2 real and distinct roots

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