What value of p will make (x\(^2\) - 4x + p) a perfect square?
a
-2
b
16
c
4
d
-8
Explanation
Correct Option
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Jemiseye
3 weeks ago
To make x² - 4x + p a perfect square, it needs to be in the form (x - a)²
*Step 1: Expand (x - a)²
(x - a)² = x² - 2ax + a²
*Step 2: Match with x² - 4x + p
Compare coefficients:
- Coefficient of x: -2a = -4 → a = 2
- Constant term: p = a²
*Step 3: Find p
p = 2² = 4
Answer: C. 4
Check: x² - 4x + 4 = (x - 2)², which is a perfect square.


