What is the process of factoring by grouping?
Flashcard 5.1-5.4 Review

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Mathematics
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9th - 11th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler binomials or monomials.
2.
FLASHCARD QUESTION
Front
How do you factor the expression 4p³ + 8p² + 3p + 6?
Back
By grouping, you can factor it as (4p² + 3)(p + 2).
3.
FLASHCARD QUESTION
Front
What is the first step in factoring a polynomial by grouping?
Back
The first step is to group the terms in pairs or sets that can be factored out.
4.
FLASHCARD QUESTION
Front
What is the result of factoring the polynomial x³ + 7x² - 2x - 14?
Back
The result is (x² - 2)(x + 7).
5.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in polynomial expressions when factoring?
Back
Coefficients can affect the common factors that can be factored out from the polynomial.
6.
FLASHCARD QUESTION
Front
How do you factor the expression k⁴ + 7k² + 10?
Back
It can be factored as (k² + 2)(k² + 5).
7.
FLASHCARD QUESTION
Front
What is the general form of a cubic polynomial?
Back
A cubic polynomial is generally expressed as ax³ + bx² + cx + d, where a, b, c, and d are constants.
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