Math II 4.2.1 Warm UP
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of factoring a quadratic expression?
Back
Factoring a quadratic expression involves rewriting it as a product of two binomials. This is done by finding two numbers that multiply to the constant term and add to the coefficient of the linear term.
2.
FLASHCARD QUESTION
Front
What is the factored form of the expression x² + 9x - 36?
Back
(x + 12)(x - 3)
3.
FLASHCARD QUESTION
Front
How do you factor the expression 3x² - 75?
Back
First, factor out the greatest common factor (GCF), which is 3, resulting in 3(x² - 25). Then, recognize that x² - 25 is a difference of squares, which factors to (x + 5)(x - 5). Thus, the complete factorization is 3(x + 5)(x - 5).
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
What is the factored form of a² - a - 12?
Back
(a - 4)(a + 3)
5.
FLASHCARD QUESTION
Front
How do you factor the expression x² + 4xy + 4y²?
Back
This expression is a perfect square trinomial, which factors to (x + 2y)(x + 2y) or (x + 2y)².
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
What is the difference of squares, and how is it factored?
Back
The difference of squares is a special case of factoring that applies to expressions of the form a² - b². It can be factored as (a + b)(a - b).
Tags
CCSS.HSA.APR.C.4
7.
FLASHCARD QUESTION
Front
What is the factored form of 25x² - 81?
Back
(5x + 9)(5x - 9), which is a difference of squares.
Tags
CCSS.HSA.APR.C.4
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