Does the equation y = (x - p)(x - q) intercept the x-axis at the point (2,0)?
(1) pq = -8
(2) -2 - p = q
(1) pq = -8
(2) -2 - p = q
y = (x-p)(x-q)
For x-intercept to be (2,0)
0 = (2-p)(2-q)
So we need to check whether either of p or q is 2...
Statement 1
pq = -8
value of p and q can b anything
-1*8
-8*1
2*-4
...
Insufficient
Statement 2
-2 - p = q
We are still not sure of values of p and q
Combining Statement 1 and 2
pq = -8
-2 -p = q
p = -4
q = 2
therefore x-intercept of the equation is (2,0)
Option C
