pls help me this problem class 11
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you add these to equations what we will get is
a + b + c+ d +e =0
and this polynomial can satisfy this equation if we put x=1
that means x=1 is one of the the roots
now , subtract these two equations what we will get is,
a + b +c - (b + d) =0
and this polynomial can satisfy this equation when we put x= - 1
that means x=1,x= -1 both are the roots of this equation
hence this polynomial is divsible by (x-1)*(x+1) = x^2 -1
and if anybody asks you whether this polynomial is divisble by x-1 and x+1 then answer is true
i hope this will help you
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