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if 2x - 3 is a factor 9f the polynomial,
x = 3/2 is a zero of the polynomial.
so, 2(3/2)³ - 9(3/2)² - 3/2 + k = 0
k = -27/4 + 81/4 + 3/2
= (-27 + 81 + 6)/4
= 60/4
= 15
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here is your answer.....
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