Factoring and Solving Quadratic Equations

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
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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 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 two binomials, such as (x - p)(x - q) = 0, where p and q are the roots of the equation.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c, where a, b, and c are constants.
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate?
Back
A positive discriminant indicates that the quadratic equation has two distinct real roots.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What does a zero discriminant indicate?
Back
A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).
Tags
CCSS.HSA-REI.B.4B
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