what value of c makes x² - 24x + c a perfect square trinomial?\n-144\n-48\n48\n144

Answer:

D. 144

Explanation:

Step1: Recall the formula

For a perfect - square trinomial of the form (x^{2}+bx + c), (c=\left(\frac{b}{2}\right)^{2}).

Step2: Identify the value of b

In the given trinomial (x^{2}-24x + c), (b=-24).

Step3: Calculate c

[ \begin{align*} c&=\left(\frac{-24}{2}\right)^{2}\ &=(-12)^{2}\ & = 144 \end{align*} ]