
Solving Quadratics by Square Roots and Factoring
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
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 solve a quadratic equation by square roots?
Back
Solving by square roots involves isolating the x² term and taking the square root of both sides to find the values of x.
Tags
CCSS.HSA-REI.B.4B
3.
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
4.
FLASHCARD QUESTION
Front
What is factoring in the context of quadratic equations?
Back
Factoring is the process of rewriting a quadratic equation as a product of two binomials, allowing for easier solution finding.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the expression b² - 4ac in the quadratic formula, 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 solutions.
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 solution (a repeated root).
Tags
CCSS.HSA-REI.B.4B
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