what value should be added to make the expression a perfect square trinomial? x^2-5x+______ A.) 5/2 B.) 25 C.)10 D.)25/4
+23251 Complete the perfect square trinomial: x2 - 5x + ___
So long as the squared term (the x2) has a coefficient of 1,
divide the coefficient of the linear term (the x-term) by 2: ---> -5/2
and square that result: ---> (-5/2)2 ---> 25/4
x2 - 5x + 25/4 ---> (x - 5/2)(x - 5/2) ---> (x - 5/2)2
Therefore, the answer is D.
