Quadratic Formula, the Discriminant, & Completing the Square

Front

What is the quadratic formula?

Back

Front

What does the discriminant tell us about a quadratic equation?

Back

Front

Identify the values of a, b, and c in the equation: 4x^2 - 8x = 3.

Back

a = 4, b = -8, c = -3.

Front

What is the significance of a negative discriminant?

Back

A negative discriminant indicates that the quadratic equation has two complex (non-real) roots.

Front

Can the quadratic formula be used for equations that cannot be factored?

Back

Yes, the quadratic formula can be used to solve any quadratic equation, regardless of whether it can be factored.

Front

Solve using the quadratic formula: f(x) = 2x^2 - 4x + 7.

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What is completing the square?

Back

Front

How do you determine if a quadratic equation can be factored?

Back

A quadratic equation can be factored if its discriminant is a perfect square.

Front

What is the vertex form of a quadratic function?

Back