The Discriminant

The Discriminant tells how many & what type of solutions the quadratic has.

Put the quadratic in standard form first!

Foldable Notes Positive ZerO Negative Discriminant Fold your paper over (top to bottom leaving about an inch at the bottom). Positive ZerO Negative Discriminant

 If the discriminant is POSITIVE, then you will have 2 real roots.  If the discriminant is ZERO, then you will have 1 real root.  If the discriminant is NEGATIVE, then you will have 2 imaginary roots.

2 real Roots ZerO Negative Discriminant

One real Root Positive Negative Discriminant

2 imaginary Roots Positive ZerO Discriminant

Determine the number & types of roots. Example: 1 2 Imaginary Roots

Determine the number & type of roots. Example: 2 1 Real Root

Determine the number & type of roots. Example: 3 2 Real Roots

Solving by the Quadratic Formula

Everything must be on the same side of the equals sign before solving Quadratic Formula Everything must be on the same side of the equals sign before solving

Question #1 Use the quadratic formula to find the zeros.

Question #2 Use the quadratic formula to find the zeros.

Question #3 Use the quadratic formula to find the zeros.

Question #4 Use the quadratic formula to find the zeros.

Homework Solving Quadratics WS