Question

 If ax²+bx+c and bx²+ax+c have a common factor x+1 then show that c=0

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Answer 1

x-1 is the factor of two polynomials means x=1 satisfies two equation

a-b+c=0

b-a+c=0

so,

a-b+c=b-a+c

a-b=0

putting this 1st equation

we get

c=0

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