what value of c makes $x^2 - 12x + c$ a perfect square trinomial?\n-36\n-24\n24\n36
what value of c makes $x^2 - 12x + c$ a perfect square trinomial?\n-36\n-24\n24\n36
Answer
Explanation:
Step1: Recall perfect square formula
A perfect square trinomial has the form (x^2 + bx + c=(x + \frac{b}{2})^2), so (c = (\frac{b}{2})^2).
Step2: Identify (b) and calculate (c)
In (x^2-12x + c), (b=-12). Then (\frac{b}{2}=\frac{-12}{2}=-6), and (c = (-6)^2 = 36).