Zero of Multiplicities

[laurenbaboran]

"The graph of the function f(x)=7(x-3)^2(x+5)^4 has a zero of multiplicity 4 at x=-5. True or False?"
I think I understand the basic concepts, and I'm pretty sure it's true, but can someone confirm that for me please?

 

[srmichael]

"The graph of the function f(x)=7(x-3)^2(x+5)^4 has a zero of multiplicity 4 at x=-5. True or False?"
I think I understand the basic concepts, and I'm pretty sure it's true, but can someone confirm that for me please?

Tell us what you think the answer is and why you think it's the answer to see if you are on the right track.