Podcast
Questions and Answers
Which of the following is the standard form of a quadratic equation?
Which of the following is the standard form of a quadratic equation?
- $a + b = c$
- $ax^2 + bx + c = 0$ (correct)
- $ax + b = 0$
- $y = mx + b$
What is the degree of a quadratic equation?
What is the degree of a quadratic equation?
- 1
- 2 (correct)
- 3
- 0
Which method is commonly used to solve quadratic equations?
Which method is commonly used to solve quadratic equations?
- Quadratic formula (correct)
- Long division
- Graphing a line
- Adding the coefficients
In the quadratic formula, which part determines the nature of the roots?
In the quadratic formula, which part determines the nature of the roots?
If the discriminant of a quadratic equation is negative, what type of roots does the equation have?
If the discriminant of a quadratic equation is negative, what type of roots does the equation have?
Flashcards
Quadratic Inequality
Quadratic Inequality
A quadratic inequality is an inequality that involves a quadratic expression. It can be written in the form ax² + bx + c > 0, ax² + bx + c < 0, ax² + bx + c ≥ 0, or ax² + bx + c ≤ 0, where a, b, and c are constants and a ≠ 0.
Roots of a Quadratic Equation
Roots of a Quadratic Equation
The roots are the x-values where the quadratic equation equals zero. They are the points where the parabola intersects the x-axis.
Graph of a Quadratic Function
Graph of a Quadratic Function
The graph of a quadratic function is a parabola, a U-shaped curve. The sign of the leading coefficient (a) determines whether the parabola opens upwards (a > 0) or downwards (a < 0).
Solving Quadratic Inequalities Graphically
Solving Quadratic Inequalities Graphically
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Solution Set
Solution Set
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