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Question

Let f(y) = y^4 -3y^3 +y - 3 and g(y) = y^3 + 7y^2 -2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.

Accepted Answer

We see that f(y) + g(y) = y^4 -3y^3+y-3 +y^3+7y^2-2. Simplifying, we get y^4-2y^3+7y^2+y-5.