State the number of complex roots for each equation. Then find all the roots

Question

samsan9 · Answer

x^5-5x^4-5x^3+25x^2-6x+30=0

mathmusician · Answer

Hello my friend what is the highest power that you have listed here?

samsan9 · Answer

the highest power is 5 I believe

mathmusician · Answer

Then that would be your answer sir/mamn

mathmusician · Answer

for the number of complex roots

samsan9 · Answer

so just stating all the powers ? and its sir lol

mathmusician · Answer

Yes, Now tell me what you DO know about actually finding all of the complex roots.

samsan9 · Answer

isn't it when you equal it to  0? or something like that lol

samsan9 · Answer

it involves factoring I think too

mathmusician · Answer

Yes when the graph passes through the x-axis then those are the complex roots, in other words when y = 0 as you said yourself.

mathmusician · Answer

Do you have a graphing calculator?

samsan9 · Answer

I can use desmos graphing calculator

mathmusician · Answer

That is an easy way to find the roots, graph the equation and list the x-intercepts (where the graph crosses the x-axis.)

samsan9 · Answer

thanks!!! I appreciate it.

mathmusician · Answer

No problem tag me anytime!