multiply binomials
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a binomial?
Back
A binomial is a polynomial that contains exactly two terms, which can be separated by a plus or minus sign, such as 5x + 11.
2.
FLASHCARD QUESTION
Front
What is the result of multiplying the binomials (r + 7)(r - 7)?
Back
The result is r² - 49, which is derived from the difference of squares formula.
3.
FLASHCARD QUESTION
Front
What is the difference of squares formula?
Back
The difference of squares formula states that a² - b² = (a + b)(a - b).
4.
FLASHCARD QUESTION
Front
How do you multiply two binomials using the FOIL method?
Back
FOIL stands for First, Outside, Inside, Last. Multiply the first terms, then the outside terms, then the inside terms, and finally the last terms, and combine like terms.
5.
FLASHCARD QUESTION
Front
What is the product of (x + 5)(x - 3)?
Back
The product is x² + 2x - 15.
6.
FLASHCARD QUESTION
Front
What does it mean to factor a polynomial?
Back
Factoring a polynomial means expressing it as a product of its factors, which can be binomials or monomials.
7.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is written in descending order of the degree of its terms, such as ax² + bx + c.
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