Resposta :
Resposta:
Let the zeroes of the polynomial be a and 1/a, where a is a constant.
According to the given condition, the product of the zeroes is equal to 1:
a * 1/a = 1
This implies that a^2 = 1
Therefore, a = 1 or a = -1
If a = 1, then the zeroes are 1 and 1/1 = 1, which are not reciprocal of each other.
If a = -1, then the zeroes are -1 and 1/(-1) = -1, which are reciprocal of each other.
Therefore, the value of k is the product of the zeroes:
k = (-1)(-1) = 1
Thus, the value of k is 1.
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