Factor Theorem

Asked by baidshryans | 29th Jan, 2009, 06:42: PM

Expert Answer:

(x-a) is the factor of f(x)

thus f(a)=0

a2+pa+q=0  (i)

for the same reason

g(a)=0

a2+ma+n=0  (ii)

Subtracting (ii) from (i)

a(p-m)+(q-n)=0

a=(n-q)/(p-m)

hence proved

Answered by  | 29th Jan, 2009, 11:00: PM

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