Solving Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0.
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 solve a quadratic equation by factoring?
Back
To solve by factoring, express the quadratic in the form (x - p)(x - q) = 0, then set each factor to zero: x - p = 0 or x - q = 0.
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 does the discriminant tell us?
Back
The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
7.
FLASHCARD QUESTION
Front
Solve: 4m² - 100 = 0
Back
m = 5, -5
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