Which polynomial function has a leading coefficient of 2, root –5 with multiplicity 3, and root 12 with multiplicity 1?
f(x) = 2(x – 5)(x – 5)(x – 5)(x + 12)
f(x) = 2(x + 5)(x + 5)(x + 5)(x – 12)
f(x) = 3(x – 5)(x – 5)(x + 12)
f(x) = 3(x + 5)(x + 5)(x – 12)

Multipliicty is how many times it repeats

so
f(x)=a(x-r1)^n(x-r2)^m
a is leading coefient
r1 and r2 are the roots
n is the multiplicity of r1
m is the multiplicty of r2

so
leading 2 and root -5 mult 3 and root 12 mut 1
f(x)=2(x-(-5))^3(x-12)^1
f(x)=2(x+5)(x+5)(x+5)(x-12)

2nd optnio