Factoring Quadratics

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is factoring in mathematics?
Back
Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.
2.
FLASHCARD QUESTION
Front
What is a quadratic expression?
Back
A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.
3.
FLASHCARD QUESTION
Front
What are the factors of x² - 81?
Back
(x - 9)(x + 9) - This is a difference of squares.
4.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression in the form x² + bx + c?
Back
Look for two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n) where m and n are those numbers.
5.
FLASHCARD QUESTION
Front
What is the zero-product property?
Back
If the product of two factors is zero, then at least one of the factors must be zero.
6.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation by factoring?
Back
1. Factor the quadratic expression. 2. Set each factor equal to zero. 3. Solve for the variable.
7.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots are the values of x that make the equation equal to zero, found by solving the equation.
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