Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

Question

−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:

4x^2 + 6x + 2 = 0

Answer 1

the part of b^2-4ac is called the "determinant" since it determines the properties of your roots.
in your case b^2 - 4ac = 36-4(4)(2) = 4
so you have 2 distinct real roots.
Not only that, since 4 is a perfect square, your roots will be rational.
And since the roots are rational, I bet your quadratic WILL factor.
What a neat relationship!!