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Multiply polynomial $ \, \color{blue}{ s^4+12s^3+41s^2+30s } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$.
Answer
$$ \left( \color{blue}{s^4+12s^3+41s^2+30s} \right) \cdot \left( \color{orangered}{s^5+41s^4+613s^3+3975s^2+9450s} \right) = s^9+53s^8+1146s^7+13042s^6+83513s^5+294765s^4+506700s^3+283500s^2 $$
Explanation
Explanation is too long to display.