if one of the zeroes of the cubic polynomial x³+ax²+bx+c is the product of the other two zeroes is
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Let a, p and y be the zeroes of the given cubic polynomial p(x). Hence, product of the other two roots is 1 -a + b. Since, -1 is one of the zeroes of the cubic polynomial f(x) = x2 + ax2 + bx + c i.e., (x + 1) is a factor of f{x).
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