what values are needed to make each expression a perfect square trinomial?\n$x^{2}+2x+square$\n$x^{2}-20x+squ…

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: Solve for the first expression (x^{2}+2x + c)

Here (b = 2), so (c=\left(\frac{2}{2}\right)^{2}=1).

Step3: Solve for the second expression (x^{2}-20x + c)

Here (b=-20), so (c=\left(\frac{-20}{2}\right)^{2}=(- 10)^{2}=100).

Step4: Solve for the third expression (x^{2}+5x + c)

Here (b = 5), so (c=\left(\frac{5}{2}\right)^{2}=\frac{25}{4}).

Answer:

1 100 (\frac{25}{4})