The value of k, for which the polynomial X3-3x2+3x+k has 3 as its zero is?
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Answer:
p(x) = x³ - 3x² + 3x + k
p(3) = 0
p(3) = 3³ - 3 × 3² + 3 × 3 + k
= 27 - 27 + 9 + k = 0
= 9 + k = 0
k = -9
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