Factoring Quadratics

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is factoring in algebra?
Back
Factoring in algebra is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.
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 and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What are the common methods for factoring quadratics?
Back
Common methods for factoring quadratics include: 1) Factoring by grouping, 2) Using the quadratic formula, 3) Recognizing special products (like difference of squares, perfect square trinomials), and 4) Trial and error.
4.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special factoring pattern that applies to expressions of the form a² - b², which can be factored as (a - b)(a + b).
Tags
CCSS.HSA.APR.C.4
5.
FLASHCARD QUESTION
Front
How do you factor a perfect square trinomial?
Back
A perfect square trinomial is factored as (a + b)² or (a - b)², where a² + 2ab + b² = (a + b)² and a² - 2ab + b² = (a - b)².
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
What is the factored form of x² - 81?
Back
The factored form of x² - 81 is (x - 9)(x + 9), which is an example of the difference of squares.
Tags
CCSS.HSA.APR.C.4
7.
FLASHCARD QUESTION
Front
How do you factor the expression 25x² - 9?
Back
The expression 25x² - 9 can be factored as (5x - 3)(5x + 3), which is also a difference of squares.
Tags
CCSS.HSA.APR.C.4
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