Question

if x-2 and x-1/2 are the factor of PX+ 5x+r then show p=r

Answer 1

since x-2=0 ;x=2
f(x)=P×2+5×2+r
0=2P+r+10
2P+r=-10
since x-1/2=0
x=1/2
f(x)=1/2P+5×1/2+r
0=1/2P+5/2+r
P+2r=-5/2
on solving both equations we get
sorry the second equation is
P+2r=-5
we get
r=0
and
p=-5