Factoring Trinomials when a = 1 AND a >1

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Mathematics
•
9th - 12th 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 ax^2 + 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 = 1?
Back
When a = 1, the trinomial can be factored as (x + p)(x + q) where p and q are numbers that add to b and multiply to c.
4.
FLASHCARD QUESTION
Front
How do you identify p and q in the trinomial x^2 + bx + c?
Back
p and q are the two numbers that add up to b (the coefficient of x) and multiply to c (the constant term).
5.
FLASHCARD QUESTION
Front
Factor the trinomial: x^2 + 5x + 6.
Back
(x + 2)(x + 3)
6.
FLASHCARD QUESTION
Front
What is the general form of factoring a trinomial when a > 1?
Back
When a > 1, the trinomial can be factored as a(x + p)(x + q) where p and q are found similarly.
7.
FLASHCARD QUESTION
Front
How do you factor a trinomial when a > 1?
Back
1. Multiply a and c. 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the middle term using these numbers. 4. Factor by grouping.
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