Solving Quadratic Equations: Completing the Square
Question 3 • Algebra III A
What value of c makes x2 − 12x + c a perfect square trinomial?
Answer
A
−36
B
−24
C
24
D
36
Explanation
For x² − 12x + c to be a perfect square, take half of the coefficient of x and square it: (−12 ÷ 2)² = 36. Then x² − 12x + 36 = (x − 6)², so the correct choice is 36.
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