The x-intercepts of a particular equation are x = p, q. Suggest a possible equation.

Question

Quite confused on this question... Any idea? Thanks in advance.

Answer 1

if p and q are the x-intercepts, then they are the roots of f(x)=0
That means that (x-p) and (x-q) divide f(x).
So,
f(x) = a(x-p)(x-q)
where a can be any scale factor.