The polynomial ax^3+ 3x^2 - 3 and 2x^3 - 5x+ a when divided by x - 4 leave the same remainder in each case. Find the value of a.
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The only thing you have to do here is find the remainders and equal them:
A/Q
=>a(4)³+ 3(4)²-3 = 2(4)³- 5(4) +a
=>64a + 48 -3 = 128-20+a
=>63a = 63
=>a = 1
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