If (x - 2) and (x - 1/2) are factors of px² + 5x + r, then show that p = r

Answers (1)

f(x) = px² + 5x + r

f(2) = 4p + 5x2 + r =0

4p+r+10 =0 ...(i)

f(1/2) = p/4 + 5/2 + r =0

p+4r+10 =0...(ii)

Equation (i) - Equation(ii)

3p-3r=0

p=r

Hence Proved 

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