Lesson Example Discussion Quiz: Class Homework |
Quiz Discussion |
Title: Quadratic-Equations and Factors |
Grade: 1300-a Lesson: S2-L1 |
Explanation: Let us discuss a few questions on this topic and review the answers to every question. |
Quiz: Discussion in Class
Problem Id | Problem | Options |
---|---|---|
Steps 1 |
Solve the quadratic equation: \$ 3x^2 - 4x - 4 = 0 \$. |
A) \$ x = 2 and x = 3/2 \$ B) \$x = -2 and x = -2/3 \$ C) \$ x = -2 and x = -3/2\$ D) \$x = 2 and x = -2/3 \$ |
Steps 2 |
Factorize the quadratic expression: \$3x^2 - 10x - 8 \$. |
A) (x - 4)(3x + 2) B) (x - 4)(3x - 2) C) (x + 4)(3x + 2) D) (x - 4)(3x + 3) |
Steps 3 |
Solve the quadratic equation \$2x^2 + 5x - 3 = 0\$. |
A) \$x = 1/2 \$ and x = - 3 B) \$x = 3/2 \$ and x = -4 C) \$x = 2/3 \$ and x = 3 D) x = - 0.6 and x = 4 |
Steps 4 |
Solve the quadratic equation \$2x^2 + 7x + 3 = 0\$ using factors. |
A) \$x = 3 and x = - 1/2\$ B) \$x = -3 and x = - 1/2\$ C) \$x = 3 and x = 1/2\$ D) \$x = -3 and x = 1/2\$ |
Steps 5 |
Solve the quadratic equation \$2x^2 + x - 4 = 0\$ by completing the square. |
A) \$x = (- 1 + \sqrt(33))/2\$ and \$x = (- 1 - \sqrt(33))/2\$ B) \$x = ( 1 + \sqrt(33))/2\$ and \$x = ( 1 - \sqrt(33))/2\$ C) \$x = ( 1 + \sqrt(33))/4\$ and \$x = ( 1 - \sqrt(33))/4\$ D) \$x = (- 1 + \sqrt(33))/4\$ and \$x = (- 1 - \sqrt(33))/4\$ |
Steps 104 |
Solve the quadratic equation: \$ 4x^2 + 4\sqrt2 x + 2 = 0 \$. |
A) \$ x = - 2 / \sqrt2\$ B) \$ x = - \sqrt2 / 2\$ C) \$ x = \sqrt1 / 2\$ D) \$ x = 2 / \sqrt2\$ |
Steps 206 |
Solve the quadratic equation: \$4x^2 + 8x + 14 = 0\$. |
A) \$x_1 = (- 2 + i \sqrt 5) / 2\$ and \$x_2 = (- 2 - i \sqrt 5) / 2 \$ B) \$x_1 = (- 2 - 3i \sqrt 5) / 2\$ and \$x_2 = (- 2 + 3i \sqrt 5) / 2 \$ C) \$x_1 = (2 + i \sqrt 5) / 4\$ and \$x_2 = (2 - i \sqrt 5) / 4 \$ D) \$x_1 = (- 2 + \sqrt 5) / 2\$ and \$x_2 = (- 2 - \sqrt 5) / 2 \$ |
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