Factoring Quadratics
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
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 and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic expression?
Back
Factoring a quadratic expression means rewriting it as a product of two binomials.
3.
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.
4.
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, no real roots.
5.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression when a = 1?
Back
When a = 1, you look for two numbers that multiply to c and add to b, then write the expression as (x + m)(x + n), where m and n are the two numbers.
6.
FLASHCARD QUESTION
Front
What is the process for factoring a quadratic expression when a ≠ 1?
Back
When a ≠ 1, you can use the 'ac method': multiply a and c, find two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.
7.
FLASHCARD QUESTION
Front
What is the factored form of the expression 2x² + 5x + 3?
Back
The factored form is (2x + 3)(x + 1).
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