Question

If both x-2 and x-1/2 are factors of px square + 5x + r
Show that p=r

Answer 1

Answer:

We have, f(x) = px^2 + 5x + r

Roots of equation are 2 & 1/2

So, 2+(1/2) = -5/p and r/p = 2×(1/2) which gives p=r