Question

x - 2 and x - 1 /2 are factors of Px square + 5 x + r show that P =R

Answer 1

x=2 and x=1/2 are the zeroes.

therefore
putting 2 in the equation we get

4p+10+r=0
4p+r=-10.........(1)

putting 1/2 we get

p/4+5/2+r=0
p+10+4r=0
p+4r=-10

using (1)
p+4r=4p+r
3p=3r
p=r

hence proved