Solving & Factoring Quadratics

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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 expression?
Back
Factoring a quadratic expression involves rewriting it as a product of its linear factors, such as (x - p)(x - q), where p and q are the roots of the equation.
3.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.
4.
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.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex of a quadratic function in the form y = ax² + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant, given by b² - 4ac, determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.
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