Question

If both x-2 and 2x-1 are factors of px^2 + 5r + r , show the p=r

Answer 1

x-2 factor of px^2 + 5x + r ,
p(2)^2+5(2)+r=0
4p+r=-10 (1)
2x-1 factor of px^2 + 5x + r ,
p(1/2)^2+5(1/2)+r=0
p/4+5/2+r=0
p+4r=-10 (2)
from eq 1&2
4p+r=p+4r
3p=3r
p=r

Answer 2

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