If a,b,c and d are real numbers such that a2+b2 = 41 and c2+d2 = 25 ,then the polynomial whose zeroes (a+b) and (c+d) can be ?

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This phrase:


then the polynomial whose zeroes (a+b) and (c+d) can be?

makes no sense. Please clarify the wording - do you mean something along the lines of: what are the possible zeroes of a+b and c+d?