
Factoring Polynomials (Grouping and Sum/Difference of Cubes)
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for factoring the difference of cubes?
Back
a³ - b³ = (a - b)(a² + ab + b²)
Tags
CCSS.HSA.APR.C.4
2.
FLASHCARD QUESTION
Front
Factor the polynomial by grouping: x³ + 7x² - 2x - 14
Back
(x² - 2)(x + 7)
3.
FLASHCARD QUESTION
Front
What is the result of factoring the difference of cubes: x³ - 125?
Back
(x - 5)(x² + 5x + 25)
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
Which number is both a perfect square and a perfect cube?
Back
64
Tags
CCSS.8.EE.A.2
5.
FLASHCARD QUESTION
Front
Factor the polynomial: 125x³ - 64
Back
(5x - 4)(25x² + 20x + 16)
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
What is the formula for factoring the sum of cubes?
Back
a³ + b³ = (a + b)(a² - ab + b²)
Tags
CCSS.HSA.APR.C.4
7.
FLASHCARD QUESTION
Front
What is the first step in factoring by grouping?
Back
Group terms in pairs and factor out the common factor from each pair.
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