Find a formula for the polynomial P(x)P(x) with degree 15 leading coefficient

Ernest Ryland

Ernest Ryland

Answered question

2022-01-16

Find a formula for the polynomial P(x)P(x) with
degree 15
leading coefficient 1
root of multiplicity 6 at x=0x=0
root of multiplicity 3 at x=12x=12
root of multiplicity 6 at x=−7

Answer & Explanation

scoollato7o

scoollato7o

Beginner2022-01-17Added 26 answers

x=0 has multiplicity 6,, (x0)6=x6 is a factor. 
x=12 has multiplicity 3, (x12)3 is a factor. 
x=-7 has multiplicity 6, (x(7))6=(x+7)6 is a factor. 

P(x)=1×x6×(x12)3×(x+7)6 
P(x)=x6(x12)3(x+7)6 
 

P(x)=x6(x12)3(x+7)6

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?