Factoring Trinomials

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a trinomial?
Back
A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.
2.
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 are polynomials of lower degrees.
3.
FLASHCARD QUESTION
Front
What is the Greatest Common Factor (GCF)?
Back
The GCF is the largest factor that divides all the terms of a polynomial.
4.
FLASHCARD QUESTION
Front
How do you factor by grouping?
Back
To factor by grouping, you group terms with common factors, factor them out, and then factor the resulting polynomial.
5.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0.
6.
FLASHCARD QUESTION
Front
What is the relationship between the roots and factors of a polynomial?
Back
The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.
7.
FLASHCARD QUESTION
Front
How do you factor a trinomial of the form x² + bx + c?
Back
To factor a trinomial of this form, find two numbers that multiply to c and add to b, then express it as (x + m)(x + n).
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