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CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson On The Discriminant 2.) Assignment Learning Objectives: Given a quadratic equation, students will be able to determine how many solutions it has.

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The number of Solutions, Roots, X – Intercepts, and Zeros depends on the value under the square root in the Quadratic Formula! If it is Negative Then Zero (0) Solutions If it is Positive Then Two (2) Solutions If it is Zero Then One (1) Solution Example 1: 4 4 1 Therefore, there is One Solution Discriminant How many times does the graph of intersect the x -axis?

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Example 2: How many X-Intercepts does the graph of have? 1 1 3 Therefore, there are No Solution

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2 2 -2 Therefore, there are Two Solutions How many Solutions does the following equation have? 2 -4 2 Therefore, there is One Solution How many Roots does the following equation have? Example 3: You try:

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