
Factoring Trinomials Special Cases
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a perfect square?
Back
A perfect square is a number that can be expressed as the square of an integer. For example, x^2 and 16 are perfect squares.
Tags
CCSS.8.EE.A.2
2.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is a polynomial that can be expressed in the form (a + b)^2 = a^2 + 2ab + b^2. For example, x^2 + 20x + 100 is a perfect square trinomial.
Tags
CCSS.HSA.APR.C.4
3.
FLASHCARD QUESTION
Front
How do you identify a perfect square trinomial?
Back
To identify a perfect square trinomial, check if it can be factored into the form (a + b)^2 or (a - b)^2, where a and b are terms derived from the original trinomial.
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
What is the factored form of x^2 - 400?
Back
The factored form of x^2 - 400 is (x - 20)(x + 20), which is a difference of squares.
Tags
CCSS.HSA.APR.C.4
5.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special case of factoring that applies to expressions of the form a^2 - b^2, which can be factored as (a - b)(a + b).
Tags
CCSS.HSA.APR.C.4
6.
FLASHCARD QUESTION
Front
How do you factor a trinomial of the form ax^2 + bx + c?
Back
To factor a trinomial of the form ax^2 + bx + c, look for two numbers that multiply to ac and add to b, then rewrite the middle term and factor by grouping.
7.
FLASHCARD QUESTION
Front
What is the factored form of 2n^2 + 13n + 15?
Back
The factored form of 2n^2 + 13n + 15 is (2n + 3)(n + 5).
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