Hey!!!!__________GIVEN=> (3x - 2) is a factor of 3x³ - kx² + 21x - 10Thus => 3x - 2 = 0=> X = 2/3 is a Zero of the polynomial=> 3(2/3)³ - k(2/3)² + 21(2/3) - 10 = 0=> 3(8/27) - 4k/9 + 14 - 10 = 0=> 8/9 - 4k/9 + 4 = 0=> (8 - 4k)/9 = -4=> 8 - 4k = -36=> k = 44/4=> k = 11____Hope this helps you
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