Factoring Polynomials - Mini Flashcard

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•
Mathematics
•
10th Grade
•
Hard
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16 questions
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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, or factors, that when multiplied together give the original expression.
2.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.
3.
FLASHCARD QUESTION
Front
What is the difference of cubes formula?
Back
The difference of cubes formula states that a³ - b³ = (a - b)(a² + ab + b²).
4.
FLASHCARD QUESTION
Front
What is the sum of cubes formula?
Back
The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).
5.
FLASHCARD QUESTION
Front
How do you factor a polynomial completely?
Back
To factor a polynomial completely, identify the greatest common factor (GCF), apply factoring techniques (like grouping, difference of squares, or special products), and continue until no further factoring is possible.
6.
FLASHCARD QUESTION
Front
What is the greatest common factor (GCF)?
Back
The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.
7.
FLASHCARD QUESTION
Front
Factor the polynomial: 27x³ + 8
Back
(3x + 2)(9x² - 6x + 4)
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