Solving Quadratics (All Methods)

Flashcard
•
Mathematics
•
9th - 11th 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 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 are the methods to solve quadratic equations?
Back
The main methods to solve quadratic equations are factoring, completing the square, and using the quadratic formula.
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 does it mean to factor a quadratic equation?
Back
Factoring a quadratic equation involves rewriting it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the roots.
Tags
CCSS.HSA-REI.B.4B
5.
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.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
How do you complete the square?
Back
To complete the square, rearrange the equation to isolate the constant term, then add and subtract the square of half the coefficient of x.
Tags
CCSS.HSA-REI.B.4B
7.
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: if positive, two real roots; if zero, one real root; if negative, two complex roots.
Tags
CCSS.HSA-REI.B.4B
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