Question

PLEASE HELP!

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.
−b b2− 4ac 2a
Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation: 2x2 + 7x + 3 = 0

Answer 1

I am inclined to say b^2-4ac, also known as the discriminant.

Answer 2

can you show me how you got that answer?

Answer 3

\[\frac{-b+/-\sqrt(b^2-4ac)}{2a}\]

Answer 4

if the discriminant is > 0, the polynomial has two real roots, if the discriminant is = 0, the polynomial has one real double root, and if the discriminant is < 0, the polynomial has no real roots.

Answer 5

\[2x^2 + 7x + 3 = 0 \]

So the discriminant is 49 - 24 > 0, meaning the polynomial has two real roots.