Podcast
Questions and Answers
What is the highest degree of a quadratic equation?
What is the highest degree of a quadratic equation?
- 2 (correct)
- 0
- 1
- 3
Which of the following is the general form of a quadratic equation?
Which of the following is the general form of a quadratic equation?
- ax^2 + bx + c = 0 (correct)
- ax^3 + bx^2 + cx + d = 0
- ax + b + c = 0
- ax + b = 0
In a quadratic equation, what is the term 'a' called?
In a quadratic equation, what is the term 'a' called?
- Linear coefficient
- Constant term
- Free term
- Quadratic coefficient (correct)
What are the solutions to a quadratic equation also known as?
What are the solutions to a quadratic equation also known as?
The roots of a quadratic equation graphically correspond to what feature of a parabola?
The roots of a quadratic equation graphically correspond to what feature of a parabola?
Which method involves transforming a quadratic equation into the form (x + h)^2 = k?
Which method involves transforming a quadratic equation into the form (x + h)^2 = k?
What is the formula for the discriminant (Δ) of a quadratic equation?
What is the formula for the discriminant (Δ) of a quadratic equation?
If the discriminant (Δ) is greater than 0, what does it indicate about the roots of the quadratic equation?
If the discriminant (Δ) is greater than 0, what does it indicate about the roots of the quadratic equation?
Which of the following is a step in the 'completing the square' method?
Which of the following is a step in the 'completing the square' method?
The x-coordinate of the vertex of a parabola is given by which formula?
The x-coordinate of the vertex of a parabola is given by which formula?
What do Vieta's formulas relate?
What do Vieta's formulas relate?
According to Vieta's formulas, what is the sum of the roots (x1 + x2) of the quadratic equation ax^2 + bx + c = 0?
According to Vieta's formulas, what is the sum of the roots (x1 + x2) of the quadratic equation ax^2 + bx + c = 0?
In which field is projectile motion modeled by a quadratic equation?
In which field is projectile motion modeled by a quadratic equation?
If a quadratic equation has Δ = 0, how many real roots does it have?
If a quadratic equation has Δ = 0, how many real roots does it have?
What transformation is achieved by replacing x with (x - h) in a quadratic equation?
What transformation is achieved by replacing x with (x - h) in a quadratic equation?
What should you always do before solving a quadratic equation?
What should you always do before solving a quadratic equation?
What type of numbers are the roots if the discriminant is negative?
What type of numbers are the roots if the discriminant is negative?
What is a common mistake to avoid when solving quadratic equations?
What is a common mistake to avoid when solving quadratic equations?
Before selecting a method to solve a quadratic equation, what should you do?
Before selecting a method to solve a quadratic equation, what should you do?
What real-world application involves using quadratic equations to ensure structural stability?
What real-world application involves using quadratic equations to ensure structural stability?
Flashcards
Quadratic Equation
Quadratic Equation
A polynomial equation of degree two, generally expressed as ax^2 + bx + c = 0, where a ≠0.
Roots/Zeros of a Quadratic Equation
Roots/Zeros of a Quadratic Equation
Values of 'x' that satisfy the quadratic equation ax^2 + bx + c = 0, graphically represented as x-intercepts.
Solving by Factoring
Solving by Factoring
Expressing ax^2 + bx + c as a product of two linear factors (px + q)(rx + s) to find solutions.
Completing the Square
Completing the Square
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Quadratic Formula
Quadratic Formula
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Discriminant
Discriminant
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Discriminant and Nature of Roots
Discriminant and Nature of Roots
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Vieta's Formulas
Vieta's Formulas
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Axis of Symmetry
Axis of Symmetry
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Vertex of a Parabola
Vertex of a Parabola
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Shifting Quadratic Equations
Shifting Quadratic Equations
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Scaling Quadratic Equations
Scaling Quadratic Equations
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Study Notes
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