If both \(x - 8\) and \(x - \frac{1}{8}\) are factors of \(px^2 + 65x + r\), show that \(p = r\).
 
Proof
 
px2+5x+r=kxixii
 
px2+5x+r=kx2iix+i
 
Comparing the coefficients of \(x^2\)
 
 
Comparing the constant terms 
 
 
From the above two equations, we get 
 
\(p = r\)
 
Hence proved.
 
[Note: Enter '\(+\)', \(-\)' or '\(=\)' sign if necessary.]