Factoring Trinomials
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is factoring in algebra?
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 trinomial?
Back
A trinomial is a polynomial that consists of three terms, typically in the form ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What does GCF stand for in factoring?
Back
GCF stands for Greatest Common Factor, which is the largest factor that divides all terms in a polynomial.
4.
FLASHCARD QUESTION
Front
How do you factor a trinomial of the form x² + bx + c?
Back
To factor a trinomial of the form x² + bx + c, find two numbers that multiply to c and add to b, then express the trinomial as (x + m)(x + n), where m and n are those two numbers.
5.
FLASHCARD QUESTION
Front
What is the first step in factoring a polynomial completely?
Back
The first step in factoring a polynomial completely is to factor out the Greatest Common Factor (GCF) from all the terms.
6.
FLASHCARD QUESTION
Front
How do you factor the trinomial a² - a - 12?
Back
To factor a² - a - 12, find two numbers that multiply to -12 and add to -1. The factors are -4 and 3, so it can be factored as (a - 4)(a + 3).
7.
FLASHCARD QUESTION
Front
What is the factored form of 3x² + 18x + 15?
Back
The factored form is 3(x + 5)(x + 1), after factoring out the GCF of 3.
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