if both x-2 and x-1/_{2} are factors of px^{2}+5x+r show that p=r

the given polynomial is .......(1)

if x-2 is the factor of q(x) then q(2) = 0

if x-1/2 is the fctor of q(x) then q(1/2) = 0

subtracting (3) from (2):

which is the required result.

hope this helps you.

cheers!!

**
**