How can polynomial functions be written when given the zeros?
can anybody give me a simple answer no examples

Question

How can polynomial functions be written when given the zeros?
can anybody give me a simple answer no examples

welshfella · Answer

given  the zeros  a , b and c   we can write

P(x)  =  (x  - a)(x - b)(x - c)

zzr0ck3r · Answer

there will be infinite polynomials with those roots.

welshfella · Answer

you can the expand this to obtain standard form

zzr0ck3r · Answer

$p(x)=k(x-a)(x-b)(x-c)$

zzr0ck3r · Answer

and of course, if there were more roots there would be more binomial factors...

welshfella · Answer

ah  yes  i missed the constant  k

anonymous · Answer

can you put that all together please CX it is confusing me CX lol

welshfella · Answer

what part don't you understand - why the k had to be added ?

welshfella · Answer

k can be any constant:-     2 , 6,  0.25 whatever

welshfella · Answer

and following on from zzrock's post you can have more than 3 roots - for each root there will be another binomial 

for 4 roots we would have
p(x) = k(x-a)(x-b)(x-c)(x-d)