what value for c will make the expression a perfect square trinomial?\nx² - 7x + c\n-49/4\n-7/2\n7/2\n49/4

Explanation:

Step1: Recall the formula for perfect - square trinomial

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

Step2: Identify the value of (b) in the given expression

In the expression (x^{2}-7x + c), (b=-7).

Step3: Calculate the value of (c)

Substitute (b = - 7) into the formula (c=\left(\frac{b}{2}\right)^{2}), we get (c=\left(\frac{-7}{2}\right)^{2}=\frac{49}{4}).

Answer:

D. (\frac{49}{4})