If both (x-2) and (x-1/2) are factor of px2 + 5x + r, show that p = r. – InterviewSolution

1.

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

Answer»

if x-2 and x-1/2 are the factors then x = 2 and x = 1/2 are the roots of equation px²+5x+r, whose product of roots = r/p = 2*1/2 = 1

=> r/p = 1 => r = p

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