Question

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Answer 1

Refer the attachment attached for step by step explanation.

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Answer 2

Answer:

Step-by-step explanation:

2x-3 is a factor means  value of 2x³+9x²-x - k will be 0 for x=3/2

So 2(3/2)³+9(3/2)²-(3/2) - k = 0

2(27/8) + 9(9/4) - 3/2 - k = 0

54/8 + 81/4 - 3/2 = k

k = (54+162-12)/8

k = (216-12)/8

k = 204/8 = 51/2