Question

The polynomial $ax^{3} +3x^{2}-3$ and $2x^{3} -5x+a$ whaen divided by $x-4$ leave the same remainder in each case. Find the value of $a$

Answer 1

Dividing ax^3+3x^2-3 by x-4, we get the remainder as 45 + 64 a

Dividing 2x^3-5x+a by x-4, we get the remainder as a+108

Now, acc to question, a + 108 = 45 + 64 a

63 a = 63

a = 1

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Answer 2

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