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Answer:
a = 1
Step-by-step explanation:
Given polynomials are ax³+ 3x² - 3 and 2x³ - 5x + a.
Since it is given they leave same remainder when divided by x-4
=> a(4)³ + 3(4)² - 3 = 2(4)³ - 5(4) + a
=> 64a + 48 - 3 = 128 - 20 + a
=> 64a - a = 128 - 20 - 48 + 3
=> 63 a = 63
=> a = 1
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