please solve the above question
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assume a polynomial,
f(x)= x+2x³-9x²+12
2x-3=0
or, x=3/2
now,
f(3/2)=(3/2)+2(3/2)³+-9(3/2)²+12
=0
from remainder theorom we get, if f(a) =0 then (x-a) , is a factor of f(x)
as , f(3/2)=0 is proved , hence (2x-3) is a factor of f(x)
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