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WARM UP. 4. WHAT TO EXPECT FOR THE REST OF THE YEAR. WARM UP. 3. WHAT TO EXPECT FOR THE REST OF THE YEAR. WARM UP. 2. WHAT TO EXPECT FOR THE REST OF THE YEAR. WARM UP. 1. WHAT TO EXPECT FOR THE REST OF THE YEAR. WARM UP. 0. WHAT TO EXPECT FOR THE REST OF THE YEAR. - PowerPoint PPT Presentation
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WARM UP
WHAT TO EXPECT FOR THE REST OF THE YEAR
4
May 289.7 The Discriminant
May 29Chapter Review
May 30Review
May 31Chapter 9 Test
June 310.1 Adding Polynomials
June 410.1 Subtracting Polynomials
June 510.2 Multiplying Polynomials
June 610.2 Multiplying Polynomials
June 7Special Products of Polynomials
June 10Special Products of Polynomials
June 11Chapter 10 Test Review
June 12Chapter 10 Test
June 13Finals Review
June 14Finals Review
June 17Finals
June 18Finals
WHAT TO EXPECT FOR THE REST OF THE YEAR
WARM UP 3
May 289.7 The Discriminant
May 29Chapter Review
May 30Review
May 31Chapter 9 Test
June 310.1 Adding Polynomials
June 410.1 Subtracting Polynomials
June 510.2 Multiplying Polynomials
June 610.2 Multiplying Polynomials
June 7Special Products of Polynomials
June 10Special Products of Polynomials
June 11Chapter 10 Test Review
June 12Chapter 10 Test
June 13Finals Review
June 14Finals Review
June 17Finals
June 18Finals
WHAT TO EXPECT FOR THE REST OF THE YEAR
WARM UP 2
May 289.7 The Discriminant
May 29Chapter Review
May 30Review
May 31Chapter 9 Test
June 310.1 Adding Polynomials
June 410.1 Subtracting Polynomials
June 510.2 Multiplying Polynomials
June 610.2 Multiplying Polynomials
June 7Special Products of Polynomials
June 10Special Products of Polynomials
June 11Chapter 10 Test Review
June 12Chapter 10 Test
June 13Finals Review
June 14Finals Review
June 17Finals
June 18Finals
WHAT TO EXPECT FOR THE REST OF THE YEAR
WARM UP 1
May 289.7 The Discriminant
May 29Chapter Review
May 30Review
May 31Chapter 9 Test
June 310.1 Adding Polynomials
June 410.1 Subtracting Polynomials
June 510.2 Multiplying Polynomials
June 610.2 Multiplying Polynomials
June 7Special Products of Polynomials
June 10Special Products of Polynomials
June 11Chapter 10 Test Review
June 12Chapter 10 Test
June 13Finals Review
June 14Finals Review
June 17Finals
June 18Finals
WHAT TO EXPECT FOR THE REST OF THE YEAR
WARM UP 0
May 289.7 The Discriminant
May 29Chapter Review
May 30Review
May 31Chapter 9 Test
June 310.1 Adding Polynomials
June 410.1 Subtracting Polynomials
June 510.2 Multiplying Polynomials
June 610.2 Multiplying Polynomials
June 7Special Products of Polynomials
June 10Special Products of Polynomials
June 11Chapter 10 Test Review
June 12Chapter 10 Test
June 13Finals Review
June 14Finals Review
June 17Finals
June 18Finals
GOAL•Use the discriminant to determine the number of solutions of a quadratic equation.KEY WORDS•Discriminant
9.7 Using the Discriminant
In the quadratic formula, the expression inside the radical is the DISCRIMINANT.
x =
9.7 Using the Discriminant
DISCRIMINANT- 4ac
THE NUMBER OF SOLUTIONS OF A QUADRATIC EQUATION
9.7 Using the Discriminant
Consider the quadratic equation ax2 + bx + c = 0• If the value of b2 – 4ac is positive, then the equation has
two solutions.• If the value of b2 – 4ac is zero, then the equation has one
solution.• If the value of b2 – 4ac is negative, then the equation has
no real solution.
Because each solution of ax2 + bx + c = 0 represents an x-intercept of y = ax2 + bx + c, you can use the discriminant to determine the number of times the graph of a quadratic function intersects the x-axis. These points are called the x-intercepts or roots.
9.7 Using the Discriminant
y = x2 – x - 2
(-1, 0) (2, 0)
x-intercept x-intercept
Checkpoint Find the Number of Solutions.Find the value of the discriminant. Then use the value to determine
whether the equation has two solutions, one solution, or no real solution.
1. -3x2 + 2x - 5 = 0
2. 2x2 - 3x -4 = 0
3. 5x2 - 4x + 2 = 0
9.7 Using the Discriminant
