Question

if x-5 and x-1/5 are the factor of polynomials are px^2 +3x +r show that p=r

Answer 1

As it is a quadratic polynomial, it has 2 roots..
$(x - 5)(x - \frac{1}{5} ) = 0$
${x}^{2} - 5x - \frac{x}{5} + 1 = 0$
or
$5 {x}^{2} - 26x + 5 = 0$
So p&r are equal with the exception that coefficient of x is -26 instead of +3..