Question

Find the polynomial function with roots 1, 7, and –3 of multiplicity 2
help please:)

Answer 1

-3 has multiplicity two means
\[(x+3)^2\] is a factor

Answer 2

so write
\[(x-1)(x-7)(x+3)^2\] and then if you have to multiply out, or cheat

Answer 3

http://www.wolframalpha.com/input/?i=%28x-1%29%28x-7%29%28x%2B3%29^2
answer you want says "expanded form"

Answer 4

multiply all of those together so it would be 3x +1?

Answer 5

It is going to be a 4th degree polynomial (i.e. messy!)
Here is how to start
http://www.khanacademy.org/video/multiplying-polynomials1?playlist=Algebra+I+Worked+Examples