Checkpoint: Complete The Square

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, typically in the form (a + b)² = a² + 2ab + b².
2.
FLASHCARD QUESTION
Front
How do you find the value of c to make x² + 8x + c a perfect square trinomial?
Back
To find c, take half of the coefficient of x (which is 8), square it: (8/2)² = 16. Thus, c = 16.
3.
FLASHCARD QUESTION
Front
Factor the perfect square trinomial x² + 16x + 64.
Back
(x + 8)².
4.
FLASHCARD QUESTION
Front
What is the formula for completing the square?
Back
To complete the square for ax² + bx + c, rewrite it as a(x + b/2a)² - (b² - 4ac)/4a.
5.
FLASHCARD QUESTION
Front
Factor the expression x² - 4x + 4.
Back
(x - 2)².
6.
FLASHCARD QUESTION
Front
What is the missing value to complete the square for x² - 14x + ____?
Back
49.
7.
FLASHCARD QUESTION
Front
Complete the square for x² + 12x + ____.
Back
x² + 12x + 36.
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