Unit 3: Quadratic Equations
Master solving quadratic equations using multiple methods
Upcoming Assignment
Learning Objectives
- •Solve quadratic equations by factoring
- •Apply the quadratic formula to solve any quadratic equation
- •Solve quadratic equations by completing the square
- •Use the discriminant to determine the nature of solutions
- •Solve quadratic equations with complex solutions
Practice Problems
Problem Set 1: Standard Form
1. Identify the coefficients a, b, and c:
f(x) = 3x² - 7x + 2
2. Find the vertex of the parabola:
f(x) = 2x² + 8x - 1
3. Determine the axis of symmetry:
f(x) = -x² + 6x + 5
Problem Set 2: Factoring
4. Factor completely:
x² + 7x + 12
5. Factor using difference of squares:
4x² - 25
6. Factor the perfect square trinomial:
9x² + 12x + 4
Problem Set 3: Quadratic Formula
7. Solve using the quadratic formula:
2x² + 5x - 3 = 0
8. Find the discriminant and determine the nature of roots:
x² - 4x + 4 = 0
Practice Apps
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Complete all practice problems and submit your work for review.