Question: Consider the polynomial f(x) = x + ax + b, where a and b are constants. If f(x + 1004) leaves a remainder of

Consider the polynomial f(x) = x + ax + b, where a

Consider the polynomial f(x) = x + ax + b, where a and b are constants. If f(x + 1004) leaves a remainder of 52 upon division by x + 1005, and f(x + 1005) leaves a remainder of 6 upon division by x + 1004, what is the value of a + b?

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