Question

if (x-2) and (x-1/2) are factors of px^2+5x+r. Then show that p=r

Answer 1

let (x-2) be p and (x-1/2) is r

So

p(2). = p (1/2)

p(2)^2 + 5(2) + r = p(1/2) +5 (1/2) + r

4p + 10 + r = 1/4 p + 5/2 + r

4p-1/4p + r - r = 5/2 - 10

16p-1p/4 = 5-20/2

15p/4 = 15/2

15p× 2 = 15×4

30p = 60

p = 60/30

p = 20...