Factoring Trinomials when A is not 1
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Easy
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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 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 when A is not 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 when A is not 1?
Back
Multiply 'a' and 'c' to find the product that will help in splitting the middle term.
6.
FLASHCARD QUESTION
Front
What is the significance of the middle term in factoring?
Back
The middle term (b) is split into two terms that add up to b and multiply to ac.
7.
FLASHCARD QUESTION
Front
What is the role of the constant term in factoring?
Back
The constant term (c) helps determine the factors of the trinomial when finding pairs that multiply to ac.
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