Someone please help me with Polynomials

Question

destinyyyy · Answer

find the polynomial f(x) that has the roots of -3 and 1 multiplicity of 2

hoblos · Answer

for a polynomial f(x), if "a" is a root of multiplicity m, then the polynomial contains the factor
(x−a)^m

destinyyyy · Answer

What?? Oh my gosh you just completely lost me O.o

hoblos · Answer

is the multiplicity 2 for both roots or just for the root "1"

destinyyyy · Answer

I honestly do not know. The problem just says "find the polynomial f(x) that has the roots of -3 and 1 multiplicity of 2" So im guessing its for both

hoblos · Answer

ok so you have -3 as a root of multiplicity 2, this means that f(x) contains (x+3)^2
you also have 1 as a root of multiplicity 2, this means that f(x) contains (x-1)^2
thus the polynomial will be $$f(x)= (x+3)^{2}(x-1)^{2}$$

destinyyyy · Answer

Okay thank you

hoblos · Answer

glad to help :)