Induction in 4unit (1 Viewer)

[captainvagina]

I have my half yearly this thursday and my teacher has told me that there will be a question involving induction and polynomials. Any ideas what the question would be like??
thanks

 

[nottellingu]

I have my half yearly this thursday and my teacher has told me that there will be a question involving induction and polynomials. Any ideas what the question would be like??
thanks

It's hard to predict because polynomials have such a large scope. It could be a straightforward or extremely tough. Just look over some harder 3u questions in past papers and have a go at those. Remember just stick to the basic prinicples and work around them. Often your mind tries to complicate 4u questions because you try thinking too much. Good luck!

 

[Trebla]

Prove by induction that a polynomial of degree n > 0 has exactly n complex roots (each counted according to its multiplicity)

 

[Affinity]

Prove by induction that a polynomial of degree n > 0 has exactly n complex roots (each counted according to its multiplicity)

Too hard.. will either need some theory of fields or complex analysis to do this.

 

[captainvagina]

thnx for the help guys
lol @ affinity and trebla when we were doing the fundamental theorem of algebra part of it was proving what Trebla said. But instead of actually proving it we wrote in our books "the proof is beyond the scope of this course". haha

 

[cutemouse]

thnx for the help guys
lol @ affinity and trebla when we were doing the fundamental theorem of algebra part of it was proving what Trebla said. But instead of actually proving it we wrote in our books "the proof is beyond the scope of this course". haha

You need Topology to prove it.

 

[Affinity]

You need Topology to prove it.

Not really.. There's an algebraic proof.