Question

1. What value of c would make the expression below a perfect square trinomial? x^2 - 10x +c=y (a) 5(b) 10(c) 15 (d) 25

Answer 1

The perfect square trinomial follows the expression: (ax)^2 + 2abx + b^2

In this case a= 1, 2ab=-10 and c=b^2

Using a to isolate b, we have:

2(1)b=-10 (Replacing a=1)

2b = -10 (Multiplying)

b= -10/2 (Dividing by 2 on both sides of the equation)

b= -5

So, c = b^2= (-5)^2=25

The answer is the option D.