Solve All Quadratics
Flashcard
•
Mathematics
•
7th - 10th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic equation?
Back
Factoring a quadratic equation means expressing it as a product of its linear factors, such as (x - p)(x - q) = 0, where p and q are the roots of the equation.
3.
FLASHCARD QUESTION
Front
What is the Zero Product Property?
Back
The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.
4.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation?
Back
To find the roots of a quadratic equation, you can set the equation to zero and use factoring, the quadratic formula, or completing the square.
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.
6.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
7.
FLASHCARD QUESTION
Front
How do you determine the direction of a parabola?
Back
The direction of a parabola is determined by the coefficient of the x² term: if it is positive, the parabola opens upwards; if negative, it opens downwards.
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