What is the standard form of a quadratic equation?
Factoring Quadratics

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•
Mathematics
•
8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 its linear factors.
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
How do you factor a perfect square trinomial?
Back
A perfect square trinomial can be factored as (a ± b)², where a² and b² are the first and last terms.
5.
FLASHCARD QUESTION
Front
What is the difference of squares formula?
Back
The difference of squares formula states that a² - b² = (a - b)(a + b).
6.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression of the form ax² + bx + c?
Back
To factor ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b² - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.
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