LCI-Factoring trinomials with a>1

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Mathematics
•
8th - 9th Grade
•
Hard
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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 trinomial?
Back
Factoring a trinomial involves rewriting it as a product of two binomials.
3.
FLASHCARD QUESTION
Front
What is the general form of factoring a trinomial with a > 1?
Back
The general form is ax² + bx + c = (px + q)(rx + s), where p, q, r, and s are constants.
4.
FLASHCARD QUESTION
Front
How do you identify the coefficients in a trinomial?
Back
In ax² + bx + c, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.
5.
FLASHCARD QUESTION
Front
What is the first step in factoring a trinomial?
Back
The first step is to multiply 'a' and 'c' (the leading coefficient and the constant term).
6.
FLASHCARD QUESTION
Front
What is the purpose of finding two numbers that multiply to ac and add to b?
Back
These two numbers help in splitting the middle term to facilitate factoring.
7.
FLASHCARD QUESTION
Front
How do you factor 3a² + 4a + 1?
Back
(3a + 1)(a + 1) is the factorization.
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