let a(x) = 5x^3 + 2x^2 + x + 2 , and b(x) = x^3 + x + 1. When dividing a by b , we can find the unique quotient polynomial q and remainder polynomial r that satisfy the following equation : a(x)/b(x) = q(x) + r(x)/b(x) , where the degree of r(x) is less than the degree of b(x). What is the quotient , q(x) ? and what is the remainder r(x) ?
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