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What is the Quadratic Equation?

Q: What is the Quadratic Formula?

A: This is a very useful formula to remember, because it means you may never have to factor ever again!

Given a quadratic in standard form, ,

the Quadratic Formula allows you to solve for x, without factoring!.

The formula is:

Let’s try an example:

Solve . . . → Read More: What is the Quadratic Equation?

The Discriminant

Q: What is the discriminant?

A: The discriminant is part of the Quadratic Formula :

It is the part under the square root sign:

The discriminant is a useful quantity to compute, as it will tell you three things:

Case 1:

The discriminant is positive.

There are two real roots. . . . → Read More: The Discriminant

Zeros of Polynomial Functions

Q: What are the zeros of a polynomial function?

A: A zero is just another name for a root. It is an x-value where the graph crosses the x-axis.

Find zeroes/roots by setting y=0 and solving for x.