Question 11
PolynomialsFor what value of k is 4x2 − 12x + k, a perfect square?
- A.−9
- B.−9/4
- C.9/4
- D.9
Show the answer and explanation
Answer: D (9)
Explanation
A perfect square needs b² = 4ac: 144 = 16k, so k = 9 (4x² − 12x + 9 = (2x − 3)²).
For what value of k is 4x2 − 12x + k, a perfect square?
Answer: D (9)
A perfect square needs b² = 4ac: 144 = 16k, so k = 9 (4x² − 12x + 9 = (2x − 3)²).