Solving Quadratics by Factoring
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 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 equation?
Back
Factoring a quadratic equation involves rewriting it as a product of two binomials, allowing for easier solutions.
3.
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.
4.
FLASHCARD QUESTION
Front
How do you factor the equation 6x² - 18x = 0?
Back
Factor out the common term: 6x(x - 3) = 0.
5.
FLASHCARD QUESTION
Front
What are the solutions to the equation 6x² - 18x = 0?
Back
The solutions are x = 0 and x = 3.
6.
FLASHCARD QUESTION
Front
How do you solve the equation 16x² - 9 = 0 by factoring?
Back
Recognize it as a difference of squares: (4x - 3)(4x + 3) = 0.
7.
FLASHCARD QUESTION
Front
What are the solutions to the equation 16x² - 9 = 0?
Back
The solutions are x = -3/4 and x = 3/4.
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