-1 is a zero of a polynomial p(x
p(x) =x6 + kx4 – x3 + 3x.
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p(x) =x6 + kx4 – x3 + 3x.
As -1 is the zero of the polynomial, substitute x=-1 in the equation.
(-1)^6 + k(-1)^4 - (-1)^3 + 3(-1)
1 + k + 1 - 3 = 0
2 + k - 3 = 0
k - 1 = 0
k = 1
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