When x³+ax²+4 is divided by x+1, the remainder is 6 greater than the remainder when it is divided by x-2, the value of a is
Question
Solution 1
To solve this problem, we will use the Remainder Theorem which states that the remainder of a polynomial f(x) divided by (x-a) is f(a).
According to the problem, when x³+ax²+4 is divided by x+1, the remainder is 6 greater than the remainder when it is divided by x-2. So, we can write this as:
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