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# Polynomial Basics

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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.

Jul 24, 2018

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Let f(y) = y^4 -3y^3 +y - 3 and g(y) = y^3 + 7y^2 -2. Find $f(y) + g(y)$.

$$\begin{array}{|rcrcrcrcrcr|} \hline f(y) &=& y^4 &-& 3y^3 & & &+& y &-& 3 \\ g(y) &=& & & y^3 &+& 7y^2 & & &-& 2 \\ \hline f(y)+g(y) &=& y^4 &-& 2y^3 &+& 7y^2 &+& y &-& 5 \\ \hline \end{array}$$

Jul 25, 2018