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Given, –2 a zero of the polynomial 3x2 + 4x + 2k
Put x = -2 in the polynomial, we get
3*(-2)2 + 4*(-2) + 2k = 0
=> 3*4 - 8 + 2k = 0
=> 12 - 8 + 2k = 0
=> 4 + 2k = 0
=> 2k = -4
=> k = -4/2
=> k = -2
So, the value of k is -2