Question

Please help me factor the following polynomial.

Answer 1

Please show the steps to go from here...

\[s^2+8s+25\]

to here...

\[(s+(4-3 i)) (s+(4+3 i))\]

Thanks

Answer 2

Use your Quadratic Formula :)\[\large\rm s=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]We can write the factors easily after we find the solutions.
Seems a little difficult to break it into complex factors right from the start though. I'm not sure what the trick would be to do it that way.

Answer 3

\[\large\rm s=\frac{-8\pm\sqrt{8^2-4(1)(25)}}{2(1)}\]